To perform a traditional push-up, you should be lying on your stomach with your hands by your shoulders as you push yourself up off the ground. Your weight should be distributed over your hands and toes. You may also do a variation with your weight supported by your hands and knees if this is too difficult to perform.
Using a chest-press machine would be easiest, where you push the handles away from you until you fully extend your arms. You can also do a variation of this lying down on a bench using dumbells or a barbell.
Bending over a bench, using it to support your weight (with your left knee and left hand on the bench), use your right hand to pull or "row" a dumbell upward toward your ribcage. Once you complete a set with your right, switch and do the same with your left.
With a dumbell in each hand, "curl" the weight in one hand upward toward your shoulder, alternating arms with each curl.
With dumbells in each hand and resting by your shoulders (arms bent in a 90-degree position), push the dumbells up toward the ceiling. You can do this exercise standing or sitting, and can use a barbell in place of dumbells.
Standing upright with dumbells in hand, push one arm up toward the ceiling, while the other dumbell rests by your shoulder (arm bent in a 90-degree position). Alternate arm position until you achieve your desired number of repetitions with each arm.
Standing upright, holding a dumbell in each hand by your side, lift a dumbell with one arm so that it is directly in front of you, with arm outstretched. Your arm must remain perfectly straight at all times. Alternate arms repeatedly until you complete your set.
Standing straight, holding dumbells in front of you with palms facing your body, lift the dumbells up toward your chin simultaneously, with elbows flying out. Lower dumbells back to first position. You can also perform this with a barbell.
With your hands placed on a chair or bench behind you (arms firm and straight) and your feet on a bench or other elevated platform in front of you, so you are holding yourself off the ground (with legs straight), "dip" your body by bending at your elbows until they form a 90-degree angle. Then push yourself back up to your original position, so that your arms are straight and supporting your weight again. You can also add weight, such as a plate or medicine ball, to your lap to increase resistance. If a regular dip is too difficult to perform, you can start off by keeping your feet on the ground, whereas a full dip would entail having your knees form a 90-degree angle, and your butt should nearly touch the ground.
Sitting or standing, and always keeping your back straight, hold a dumbell with both hands together directly above your head. Drop your hands (with dumbell) behind your head at a 90-degree angle and then extend back up to the original position, raising your arms over your head.