Go higher end with briefs, if you want them for daily wear and working out. 2xist, Cin2, etc. I prefer working out in a jockstrap, and I feel it an obligation for every guy who jocks up to make sure he does it regularly and in view of other guys so they'll get the message that jocks need to make a comeback.
Comp shorts are stoopid. I don't know why wearing them to the gym "is a cliché" as one poster said above, but the fact is they simply don't support your balls; the compress them. Ugh.
Bike jocks. End of discussion.