Don't get either of them. The 60D is outdated and the t5i is the most overpriced and overhyped thing canon have ever made. It's essentialy a t4i with a new name slapped on it and a $300 higher price tag.
As I said, you don't want two ef-s lenses because they're shit.
since you're looking at around the $1000 mark, here's what I'd do. I'd probably try and get this all second hand though, buying new stuff is just another way to pay too much...
T3i with basic kit lens ($550)
The old Tokina 11-16 f2.8 (aka 'the newschoolers lens', $450)
For $1000 you could have a t3i, which is probably the most used camera on NS, and a lens that is absolutely perfect for photographing and filming action sports. Yeah this kit is a bit old, but it's not like it doesn't still take awesome photos and really good video.
Also, buy from a legit camera store (b&h, adorama etc). If anything goes wrong they'll actually help you, they actually know they're shit. Most 'camera techs' in general electronic stores don't know what aperture is.
Landis, why would anyone learn photography on an ae-1? I know it's cheaper and everything, but I wouldn't want to learn on a film camera.