One of my neighbors works for Home Instead. The family of the disabled elder person calls Home Instead, and after a meeting, they decide who would work best with the person. She does all of those things .... feeds him, cleans up his bowel messes and bladder messes (which are daily), gives him or her a bath, plays games with him, reads to him, puts him to bed at night, and everything a family member would do, but it allows them some free time to be away. Sometimes she is with a patient for full days, sometimes only 4-5 hours. She's got several families she does this for. I don't know how much these places charge, but it might be worth looking into. I've also seen ads for Visiting Angels, which is much like Home Instead.
abby