what is the definition of doggy daycare by sitter's home?

An actually Definition I don't think really would work here. Each sitter can have their own idea of what they consider to be acceptable for Doggie Day Care.

I am home full times with the pups, granted like you said, I may need to run to the store or may have a drop in visit schedule for that day but I am never going for more then an hour or two at the very max.

I would recommend to schedule a meet and greet with a couple of sitters and see which one you like the best. During your meet and greet you want to make sure you ask the sitter what she does during the day and what she considers Doggie Day Care to be? (I recommend not telling her what you consider it to be until after she tells you what her explanation.) But I would strongly encourage you to tell her what your expectations are and what exactly you are looking for in a sitter.

(you mentioned that you dog is good for 6 hours in the crate. I personally would not tell the sitters that but rather tell them how long you are okay with your Dog being in a crate. just so there is no confusion)

But again, each sitter is different so do make sure to ask them during the meet and greet.

Best of Luck!

I agree with Erica - it will depend on the sitter, so it's important to find one that will provide what you need for your pup. I let potential clients know up front that I might be out for an hour or so on any given day for visits with other clients and then we clarify what would be best for their pup while I'm out (crate, pen, separate room, etc.). Only if I can provide the arrangements the client prefers would I take the new pup for daycare. After all, this is about giving your pup a safe and better experience than being home alone when you have to be at work.