I'd add a caveat to this. You can really look like a target with a bulging belt safe or neck safe. Seriously, split up your valuables. Only put a small amount of money in your pocket. Stick some someplace else. Sometimes I'll put my passport in a neck safe if I'm wearing bulky clothing, but in hot climes you look downright silly and like a target.

More importantly, have copies of everything and store them in different areas. Travel light - less to lose. Less to worry about.