Asking for thoughts on moving mom to assisted living or group home?

Hi caregiving community!
For what it's worth, I recently posted a question about dealing with my mom during her temporary stay in a skilled nursing rehab facility after a fall fracturing her leg:
https://www.agingcare.com/questions/is-it-reasonable-for-my-mom-to-ask-me-to-temporarily-move-to-her-house-5-hours-away-from-my-home-the-497075.htm
She was discharged home on 12/15/25, which was probably too early (but she received a NOMNC which she refused to allow me to appeal).
Today I'm seeking guidance in choosing the next step towards assisted living (or maybe a group home), which seems like an appropriate level of care to me as newbie.
I'm staying in her house for a few weeks until she can function more independently, hopefully close to her level before her fall.
Here's what's going well:
She has state-funded caregivers for 3-4 hours/day on weekdays, which helps a lot.
Her state DSHS case managers are ostensibly working on increasing her caregiver hours, especially during her times of highest need. I feel I "might" be able to go home soon if that happens.
Her insurance is paying for Eden Health personnel to come several times a week for two months, including Physical Therapy, Occupational Therapy, Social Work, and a nurse (to streamline her medication regimen).
I've thought for a long time that she shouldn't be living alone, which several of the Eden Health people have also mentioned. I've tried to encourage her to consider moving for at least a year. She used to strongly object, but now she says "she might do it sometime".
She lives about 5 hours from me so I'm seeking the communities' guidance on the locational choice I will present to her:
1) Mom moves to a facility in her current city.Pros: She maintain current friendships
She keeps her current church, which she loves
She stays close to her only other living family member, her niece
Cons:I probably can't visit more often than every two months, which was my schedule before her fall
2) Move mom to a facility near my current homePros:I could visit at least weekly
My ex-wife lives close to me, so the grandkids can see me, their mom, and both their grandmas each time they visit.
Cons:I probably won't stay in current city much longer, since my girlfriend lives over two hours away from me. So I'm strongly considering moving close to her. However, finances may delay my move for year or so. So if my mom moves to my current city, then I subsequently move to my girlfriend's house, my mom would have to move twice in a short amount of time.
(For what it's worth, I'm currently renting a small house and there are many reasons that she can't move in with me)
3) Move my mom to a facility near my girlfriend's house, which is where I'm anticipating moving when I can (e.g. maybe in a year)
Pros:If I do follow this plan, my mom would only have to move once
My mom loves my girlfriend so she'd enjoy seeing her visit with me sometimes
Cons:If my mom moves to my girlfriend's city before I do, then I still wouldn't be close enough to visit my mom weekly at first. However I could probably visit her every two weeks during my regular trip to my girlfriend's house.

My mom's "dealbreakers" complicating her willingness to leave her house:
1) She has a small dog and she refuses to move unless he can go2) She has an extensive doll collection in several rooms of her house and based on her previous reactions, she will fight tooth and nail to avoid giving up any of it
Once again, I am exceedingly grateful for any insight and thoughts any of you feel like offering. Have a great day!