I'm sure the 60D is a nice camera. However, the difference between the 60D and T3i is about $300 USD.
If you needed to "compromise" somewhere on budget, that is where I would do it, not on the lenses. The other option is to get a used body. Body's lose their value quickly. Good Lenses do not. I promise you will outgrow your first body in a year or two if you shoot much at all. My first body was an XSi, and it takes amazing pictures. You could pick a used XSi up very cheap - and it will get your through your first year as a DSLR shooter.
Some really great suggestions have been given. Here are mine.
1) Most important and priority #1 - you want a good "general purpose" lens. I suggest the EF-S 17-55 f/2.8 IS. This is a fantastic lens. I love mine. You will wish you had a lower f-stop if you shoot much indoors and you go with the EF-S 15-85. The 24-105 L is good, but you will need a wide angle lens to go with it. 24mm is not wide enough on a crop camera for what you want to do.
2) Next, you want something really fast to learn about using shallow depth of field, and if you get in really low light situations. Nothing beats the EF 50 f/1.8 for value here. In my opinion, the EF 50 f/1.4 isn't worth the extra money - especially on a crop camera. (I have the 50 f/1.4 and my Daughter has the 50 f/1.
3) Last, you want something on the telephoto end. I would go with the EF 70-200 f/4L IS. To me, IS is very important in a hand-held telephoto lens - therefore it is preferred over the non-IS f/2.8 in the same range. This is a very good, affordable L lens.
If the EF 70-200 f/4L IS exceeds your budget, then go with the EF 70-300 IS non-L. This will do just fine and give you experience. Then you will really know what you want when you spend the big bucks on an L-grade telephoto lens.
I also highly recommend getting a good flash. I recommend the Speedlight 430EX II.
Today's B&H Pricing
EF-S 17-55 f/2.8 - $1179
EF 50 f/1.8 - $119
EF 70-200 f/4L IS - $1349
(EF 70-300 IS non-L) - $549
Speedlight 430EX II - $299
Rebel XSi (450D) ebay - $250 - $300