What should be included in the responsibilitites of guardianships?

Madelefant, most likely guardianship responsibilities, duties, and limitations are codified in your state's guardianship statutes, with possible additional contingencies addressed in local court rules.

For Michigan:

http://www.legislature.mi.gov/(S(vzjobqattxond52ucge4mmdr))/mileg.aspx?page=GetObject&objectna

For Wayne County (in which Grosse Pointe is located):

Guardianships – Wayne County Probate Court (wayneprobatecourt.com)

From the MI State Bar:

Probate Information: Guardianships--Acting for the Disabled Adult (michbar.org)

You can also call the Wayne County Probate Court with specific questions, or find out how to access their court rules. Ask for the Clerk of the Court if you call; they're usually the starting point for inquiries (although that also depends on the specific court and its level within the judicial structure.)

And typically, court rules are available online. The Clerk/Court could direct you if you want to print them out, or just portions of areas which interest you.

Everything. A guardianship recognizes that a person is incompetent to act for him/herself, and that a guardian is required to do everything. The guardian is answerable to the court. Must keep track of all finances, every penny in and every penny out and an accounting of same, payment of all bills and files to keep meticulous records. Must be responsible for seeking out medical for the person and seeing they get there.
Fee would be decided by the courts. Guardianship rules may vary state to state.
This is a question for you to take to an elder law attorney. You will want to start with what is needed to get guardianship over someone, how long it takes, what the routine for seeking it is, what is the guardian responsible for, how much does it cost to seek guardianship, is there a pay contract, and etc.
Look up information for guardianship online for your state as well and this will trigger the questions you want to ask the attorney.
Let me tell you right her that this is an onerous and difficult job and that you are responsible legally to do it correctly and will be legally help to account. I was POA and Trustee of Trust for a kind, gentle, organized, meticulous and relatively well brother. I would not do even that for anyone ever again. The learning curve was steep and I am glad I did it, proud of all I learned, but it falls under a muttered OMG now that it's over.
I wish you the best.

I very much doubt whether doing laundry could be treated as a guardianship service. The guardian probably makes all contracts on behalf of the individual, and would not be able to make a paid service contract with themselves.

More information would help.