What to do?

The way to make this run as smoothly as it can (and that may not be terribly smoothly given the unrealistic plans of the sisters) is to assume the responsibility as POA that you were given because clearly you are the best one to assume it in the opinion of your parent. So now is time to step up and do it.
Your plans are the right plans. She should go into the best care you can provide nearest you, her POA and the Trustee of her Trust. This should be told to your sisters followed by period.
And to you all, don't request "happiness" out of this unhappy situation. This is going to be tough going for your Mom. It is loss after loss after loss for those of us of an age (80 for me) and that is the realistic way to look at it. It is worth raging over, crying over, and mourning, so allow that. Find the best place you can, whether smaller Board and Care or moderate ALF ....in my brother's the separate cottages of about 14 rooms each worked just great. Little townlets if you will, little communities.
I wish you good luck. Make it clear to Sisters that you are A) THERE. B) Assigned this duty and C) unwilling to spend a lot of time in argument. That you will do this duty given you to the best of your ability and will appreciate any HELP and input but will NOT TOLERATE argument and dissension.
I wish you the best. Head em off at the pass, partner!

Thanks all,

The info was pretty much as I expected so this validates my thoughts. Neither sister can care for my mother in their homes, it's not possible due to long-standing issues, personalities and they have their own lives. Mom has the means for care and frankly, it's the best solution for everyone!

I was able to schedule a call with a social worker to discuss my mom's condition and what's best for all. As this progressed sisters have their own ideas and have pushed back on what I'm seeking for Assisted Living "AL" according to mom's needs and wants. I thought enough and asked the sisters to also provide 5 questions each that I'll submit to the social worker to consider before our meeting for efficiency due to time limitations allowing the social worker time to consider each sibling's questions beforehand and they won't comply.

I asked them to meet before the call and to discuss what my mom wants with all of us and mom together and they all have something going on every day for the next 4 days and all live within 40 minutes of her. I've tried to be nice and I'm about to say enough! If you can't work with me you won't have any input on her care going forward as I've been asked to take this on and I did so willingly and I'm not going to battle about decisions or control when they are mine to make. With our scheduled call in a few days since sisters aren't contributing to the help I feel like removing them from the call. If they aren't willing to help me why include them?

Do what MOTHER wants you to do, let the siblings tough it out amongst themselves. Everyone wants to 'pitch in and help' until it comes time to actually pitch in and help. Then they're too busy or too sick or too SOMETHING, and you're left holding the bag 100% of the time, let's face it. Plus, AL is the perfect answer for your mom, with Memory Care available for when she needs it. Make sure the residence you find DOES have MC on the premises as well; you do not want to move her if/when she declines enough to need MC!

That said, I've had a lot of firsthand experience with both corporate owned and privately owned ALs; there is NO comparison between the two. By all means, find a privately owned AL that has NO corporate influence (aka BS) to deal with and things will run a lot smoother. The corporate mentality is driven by one thing: MONEY, while the private mentality is driven by resident comfort and satisfaction. The private AL may not be much less expensive than the corporate, but it is IN THE LONG RUN b/c they don't nickel & dime you to death, nor are the increases as large or frequent. You'll have direct access to the administration in private AL whereas it's a rigmarole like no other trying to do so with the corporate owned ALs. They have NO authority to do ANYTHING w/o 'corporate approval', it's terrible.

That said, when you look at places, talk to the residents and staff whenever possible, not the marketing director who will tell you the water fountains spew cherry cola. The residents will tell you how things REALLY are there, and the caregivers will signal their satisfaction by telling you how long they've worked there. There IS a high turnover in the industry as a whole, though, b/c let's face it, who wants to wipe butts and shower naked elders all day for a living for basically minimum wage?

So, in the end, it doesn't matter what your sisters want, it matters what your MOTHER wants and it's your job to see that she gets it, or as close to it as possible. Tell your sisters your goal and that you don't want to fight, you just want to carry out mother's wishes to the best of your ability.

Wishing you the best of luck!

You prepare to "make the case" for what's in your mom's best interests AND what is not onerous to her primary caregiver and legal manager (you).

You want to honor your mom's wishes, but with dementia, those wishes are less and less based in reality and logic. So, the weight of her input needs to be tempered with that in mind. Definitely "no" to the sister with mental health issues because caregiving can easily burn out someone who doesn't have any extra challenges.

Those who want to take care of her in their home maybe need to experience what that will really be like. Is there any way she can go stay with the one without mental health issues as a "test run"? Does this sister have a spouse and children? If so, I strongly recommend your mom not live with anyone who already has a family and job to prioritize.

One very strong benefit to your mom living in a care community is that she'll have more varied social exposure on a daily basis. My MIL is in LTC in an excellent facility on Medicaid and they take her out on their pontoon boat fishing, field trips to places like llama farms, they have visiting pets and wandering musicians, etc. Whoever is living with your mom will become her entertainment committee by default, especially once her short-term memory is really compromised because she won't remember that you just played cards with her for 30 minutes or took a drive, etc. Once she becomes less mobile she will need a residence that is ADA compliant for walkers and wheelchairs. Falling in a private home is just as common as falls in a facility, with equally injurious results. Then there's incontinence and the caregiver will need to be able to manage this and also transfer her if her legs lose strength.

There are so many other issues, and there are many on this forum who "successfully" provide hands-on caregiving in their homes to their LOs and it goes well...until it doesn't -- and no one can predict when or how this occurs. Many loving, intelligent and well-meaning adult children commit to caregiving without having a clue to the actual demands and commitments and then descend into burnout. If your mom has a trust then she may have enough resources to enable her to live in her daughter's home and when it becomes too strenuous, outside help can be hired. Just know that eventually 24/7 care is as expensive and can be more expensive than facility care. And, just for good measure consult with a Medicaid Planner (because many people erroneously believe they've saved up enough money but have sticker shock at the cost of today's care).

Bottom line, you have power of attorney and you are going to be the successor trustee. Your decisions are the only one that matter beyond what your mother wants. If your mother is competent enough to be able to express her desires, then they should be respected as much as is feasible. Your sisters can make their suggestions all they want, but your mother has put the decision making into your hands alone.

Don’t fight with your sisters about it; just calmly tell them what’s happening rather than soliciting their opinions. There really should only be one captain of this ship.