Hi Ben, I am so sorry for the stress you and your family is going through. I felt a need to reply to you as I did work in nursing homes here in missouri for many years, I dont have a family member in one.
It is a very difficult decision you have had to make and I am sure your dealing with a ton of guilt over it. No one wants to end up in a nursing home and no one wants to put someone they love dearly in one but, sometimes it is necessary. I assume you looked at all the options that are out there for your father such as assisted living, and residential care facilities? It is quite a big leep going from your home into a skilled nursing facility and the chances are that he will have a rapid decline the longer he is there. That is only because most places are underfunded, under staffed, and most patients are left to sit or lay in bed most of the day which is not good for them. I have seen it time and again.
What you can do is make sure that the facility has physicial thearpy and that they are working with him. You can request that they work with him daily and if need be get a doctor's order for it...that they can not ignore. You and your wife even should pop in there at differant times of the day...as the staff in nursing homes know what time family comes in and are sly to this, make sure he isnt sitting in a wheelchair neglected, or laying in bed...whatever specifications you have made toward the home.
They need to find his teeth...chances are they went out with the laundry...but he still needs them! And maybe you can look around for some residential care facilities which is the inbetween place of home and nursing home. They still have staff that watch them 24/7 and give meds but it is a less restrictive environment...he may like it much better and you may feel better with hime there.
If not, then try to be as proactive in his care that the facility as you can and stay on top of them. It may not elivate your guilt but I am sure that somewhere inside he does understand that you cant take care of him at home anylonger. Please do let us know how he does...My thoughts and prayers are with you both...take care