
I think a C-cup chest would be just fine with binding. Â I'm rather larger but a cousin of mine has bound herself before. Â She likes to run and is an amateur traceuse (parkour runner) and I believe she's about a C. Â The fit of men's dress shirts does make it easier to hide your bust, too, which is nice. 
On a quick search I found this link, it gives several different options:
http://www.ftmguide.org/binding.html

On a quick search I found this link, it gives several different options:
http://www.ftmguide.org/binding.html