Canon do 20mm, 24mm, 28mm primes.
I too have a 60D and I've tried the older versions of the 24mm f/2.8 and the 28mm f/2.8 as you can get them off eBay for about £150 or less. The newer versions have IS and USM but cost over £500 each!!
The older versions are ok, just have noisy AF that's all.
There is a 28mm f/1.8 USM but I've never tried it.
The 20mm is large, but I've never tied it.
If you want primes because they're small and light then remember that the 18-55 "kit" lens is about 200g and sticks out by 70mm.
Now lets look at those prime specs:
The EF 20 f/2.8 is 400g and 70 mm.
The EF 24 f/2.8 is 270g and 50 mm.
The EF 24 f/2.8 IS USM is 280g and 55 mm.
The EF 28 f/1.8 USM is 310g and 55 mm.
The EF 28 f/2.8 is 190g and 45 mm.
The EF 28 f/2.8 IS USM is 260g and 50 mm.
So they're all just as big (and heavier) than the EFS 18-55mm
If you want primes because they're faster and better in low light then another option is the Tamron 17-50 f/2.8 nonVC.
They go for under £200 on eBay.
You get all the f/2.8 primes in one lens, and it's only 440g.
It does stick out by 85mm though.