First off a T2060 is a Core Duo and not a Core 2 Duo!. I have this Core Duo processor running in my laptop and its very good. My laptop copes very well with windows Vista and I even play some games on it. You have made a good choice because although they are both good the Core Duo does consume less power, which will help increase battery life.
Edit: Looks like the 2060 is a 2050 with less cache and renamed Pentium Dual core. Mine is actually the 2050, but I doubt the difference is that huge anyway. They are both based on the Yonah core.