When Andy, my Greyhound, was tested for his TDI the only thing he didn't know was down/stay. He learned right while he was there with the help of the evaluator. The separation part was easy, they had me hand him over to a handler and I just left the area for about 5 minutes. He did fine.
I think the most important things for them to know are leave it (to keep them safely away from things on the floors), stay or down/stay and if they are going to a nursing home they need to learn to stay away from the crotch area (sorry to graphic) of the residents. A lot of them wear diapers and the dogs tend to head right to that area. It really is a lot of fun and the dogs love it.