As said in the book, he can switch shapes like Tonks, so he might've inherited more from Tonks then Lupin, so he'll be more on the human side during the full-moon.
I don't think he'll be a full were-wolf, he wasn't bitten, his father was. There's still a lot of human in him, especialy considering Lupin was turned more and more human during his transformation by the company of James P, Sirius and Peter Pettigrew. I don't know if that stayed with him in his later years thought.
Neither do I think that he'll be human during full-moon.
Is he going to be a Bill Weasley type? No. I think there's more were-wolf in him then that.
What about a guy in the shape of a were-wolf but still human thoughts? Or the opposite. To me that's the best theory.
Maybe a half-human half-were-wolf transformation? Like a snout and claws but no ears and tail? Something like that.
What about silver? Will he still react to silver? The vennom that turns one to a were-wolf makes him react to silver, but he has more like a demiportion of the stuff, so maybe he'll only react if he wears it for a long, long time.
As you know if you've finsihed Harry Potter 7, Teddy was in Harry's care after the death of his parents (grr). So its Harry's problem. Who would be ebtter to deal with a half-werewolf toddler then a guy who defeated Voldy and has all-acces to Hermione? Teddy Lupin msot likely had a pretty nice childhood.
