I find that Git, working on whole trees as it does, benefits less from IDE integration than source control tools that are either file based or follow a checkout-edit-commit pattern. Of course there are instances when it can be nice to click on a button to do some history examination, but I don't miss that very much.
The real must-do is to get your .gitignore file full of the things that shouldn't be in a shared repository. Mine generally contain (amongst other stuff) the following:
*.vcproj.*.user
*.ncb
*.aps
*.suo
but this is heavily C++ biased with little or no use of any class wizard style functionality.
My usage pattern is something like the following.
Code, code, code in Visual Studio.
When happy (sensible intermediate point to commit code, switch to Git, stage changes and review diffs. If anything's obviously wrong switch back to Visual Studio and fix, otherwise commit.
Any merge, branch, rebase or other fancy SCM stuff is easy to do in Git from the command prompt. Visual Studio is normally fairly happy with things changing under it, although it can sometimes need to reload some projects if you've altered the project files significantly.
I find that the usefulness of Git outweighs any minor inconvenience of not having full IDE integration but it is, to some extent, a matter of taste.