I would definitely get the 60D if these are your only 2 options. I am sure it is a grat camera to start, kind of in the "semi-pro" or "advanced" categories. Will do great for a beginner and you will have fun. I myself bought an used 10D 7 years ago and still works perfectly. it has been a great way to learn and it is still able to take great pics with the right lenses. I am maybe too cheap but I do not see the point in spending 3500 dollars in a body only when you are just starting... 60 D and some good lenses instead. In the future you'll have the money to buy a good full frame if you feel like to.
Another option is to grab a used or new 5D Mark II. Which is what I am trying to do.. you can get it for 1500 dollars in good condition and I am sure is a great camera... I almost got one yesterday here in Finland for 1250 euros.... a pity that I could not bid in the auction!