Right now there is no official word on either Eclipse or Breaking Dawn. We know that Summit owns the options on the books though for a while, so I think that is good news. Personally, I think all three of the remaining movies will be made, but that Breaking Dawn really only needs to be one movie.
As far as Edward in New Moon... I think that I would love him to be completely absent other than Bella's hallucinations (which I think will end up being not only his voice, but maybe shots of his eyes, hair, lips, etc). I don't think that's the way it will go though - Rob has turned into too much of a bankable figure for Summit to have him missing for and hour of a movie that will presumably be over 2 hours long. But I don't think that they will have that much Edward - I mean, all he's doing is running through Texas to find Victoria, and then being depressed in South America. And as an audience of the movie, unlike the readers of the book, we'll know concurrently that Victoria is in Forks and that Edward is looking for her elsewhere... which really doesn't move the plot forward at all. So I think we'll get a glimpse or two of him hunting in somewhere that's clearly not America, but that's probably it.
I know I'm literally going to squee out loud in the movie theater when Bella walks back into her house and Alice is there... OMG... haha.