To care for an ageing parent without resenting them or your siblings make sure that you make a plan to do something you like for weekend by Wed. Make sure it involves meeting a friend who is not a primary caretaker. And don't talk about your parent. If you need to talk to someone find a support group. Warning - they can be depressing. Also try to do something each day that enertains your parent - ( comedy CD's/ music) that way neither of you become depressed. Don't let them watch the news or read obituaries.
Contact your local council to see if they can provide any support (though very best of luck with this). You may need such things as ramps installing or handles in the bathroom or at front/back doors. Try to move your parent to a room near the bathroom too, to make things easier or if you have an en-suite room, give them that one. Arrange for a friend of theirs to visit them to chat even if its just for a short time and, as above, make time for yourself to do something away from the caring environment. When I was a carer for a family member I was entitled to 10 sessions at our local leisure centre which the council paid for.