My personal experience is, that the 60D was my favorite, when I was waiting for the 5D MKIII (which is a little bit too expensive for me by now).
In my family, three Persons own an 60D and one an 600D.
It´s image quality ist quite good, if you use EF-S lenses or lenses that are designed for Crop Cameras. My older lenses (all "L") as the 17-35mmL 2.8 are suffering from chromatic aberation and being not as sharp as the lenses that are designed for crop Cameras.
The two lenses that you want to buy are ok. In my opinion good shots are more depending on the knowledge od the photographer than on technique.
The AF is working well, but if the AF has to be very fast, there is an big difference to the AF of the 7D. But the 7D costed twice the price of the 60D.
The "minus" of the 60D is the quality range of the picture sensor. My 60D had quite big noise if the ISO was higher than 400. After changing the Sensor (red stripes in the picture), the image quality is much better. The 60D of my son is not very sharp, but has superior colors...
Forget the live view mode if the object is moving. It is working much to slow.
The 600D has an much better image quality. Think of buying the 650D. It is worth waiting. The 600D of my daughter has an superior image quality to my camera. In landscape, portrait and macro fotography the pics are very sharp and detailed. The AF is a little bit slower than that one my 60D has.
Overall: The 60D is (for its price) a very good camera. Think of the 650D, maybe its an good alternative