SIX WEEKS!
Oh my gosh! My babies are 6 1/2 weeks and I not even fully weaned yet! I just can't imagine. It's gonna take awhile for him to be completely potty trained. Limit his space and make sure he has an area to potty in. I am using fake grass for my babies and they are doing really well but they only have the run of the house for a very limited time period and I watch them. Sometimes they go to the grass all on their own but they have been raised that way from birth so it's pretty natural for them but I still would not leave them out and about with out supervision. Good luck! Your baby is awfully young.