Press ups do increase chest muscle. When you're doing then it uses your pecks and the muscle above them.
Chest
if you mean bench press, then that is deltoids, triceps, and pectorals (or chest)
lots of reps. of push ups everyday, chest press machine, or bench press would work too..... for push ups at least 20-30 (or more, depends how many you can do) of them everyday and then increase the number when you feel comfortable..... chest press and bench press are up to you when determining the weight and reps.
your doing the right exercises but you should only work those chest muscles twice a week and you want to lift heavy weight to promote muscle growth.
Primarily the lower chest muscles
pecs triceps anterior delts
Power press works your upper back and your traps.
Mowing the lawn works triceps and your chest.
chest and shoulders.
triceps, shoulders
Aerobic training work with cardio or chest muscles