achancesw

I have a base model 2012, Im not even sure what size tires I have and what size will fit without modification

Any other sites like this one:

http://www.tirerack.com/content/tire.../homepage.html

I like how you can see the rims on the car

GDubya

Stock runs 205/55-16 tires with 16"-dia x 6.5" wide steelies, up to 235/35-19 tires on 19"-dia x 8" wide +48 offset TRD wheels. There's members here easily running 20s.
TireRack.com has a on-car "visualization" feature for the rims they sell and actual performance test results for many tires they carry.
And surf the 17", 18" wheel and other threads for lots of installed pics.
Do pay attention to wheel weights because they range significantly and (particularly un-sprung) weight does affect performance/handling.

I'm currently running 225/40-18 (could have easily gone 235 flush) on 18"-dia x 8.5" +36 rims conservatively dropped on lively TRD springs on crapping urban roads without ANY bottoming-out concerns, except that I'd love to be 1" lower or (wet-dream!) have 5-Axis continue their lip kit for '11+. Everything's a balance and there are a lot of choices and opportunities out there.

Incidentally, if you want to go rare old school JDM, I have an immaculately refurbished set of 17x8 SSR Vienna Dish EV 2-piece wheels that I'd make you a fine deal on including shipping...