Biggest tip: go with the .NET naming conventions from the word go. That way you’ll constantly be reminded about which language you’re in. (Sounds silly, but it really is helpful.) Embrace the idioms of the language as far as possible.
There are various books specifically for folks in your situation – search for “C# for Java” in Amazon and you’ll get plenty of hits. It’s worth reading carefully to make sure you don’t assume that things will work the same in C# as in Java. (For instance, in C# instance variable initializers are executed before the base class constructor body; in Java they happen after. Subtle things like this can take a while to learn, and are easy to miss if you’re skimming.)
If you’re going to be using C# 3, I’d get a book which definitely covers that – everything in C# 3 will be new to you. Gratuitous plug: my own book (C# in Depth) covers C# 2 and 3, but assumes you already know C# 1. (In other words, it won’t be enough on its own, but you may want it as a “second” book.)