I have a 50D, so I can't totally speak for the 60D, but I will say this: the xxD series are well worth the extra bucks over the xxxD series.
You have more options - different increments of ISO stops, the focus control is way easier (I think the xxxD series you have to pick the point on the LCD instead of being able to do it with the joystick in the viewfinder, and that is worth the money itself), and don't forget about the feel of the camera. It just sits in your hand nicer. I have used Rebels a lot, and I am extremely happy I spent the extra dough on the camera itself.
If you get the 60D, pick up a used 28-135 to start. That way you can see what focal length you like the best and start getting nicer lenses afterwards. I like to think of that lens as good for a lot, but great at nothing. That combo would be a great starting point, and it won't break the bank.