Hi rosie, here's a copy paste of a writeup on pushups I did last year... Hope it helps:
push-ups are one of the core body exercises which is awesome for establishing a well developed and balanced upper body. To do this timeless classic exercise you will require strength and endurance in your pectorials (chest), anterior deltoids (front of shoulders) and triceps (back of upper arm). This exercise can give you strength, endurance, and speed---depending on how you utilize the exercise.
You will also require strong abs and lower back to maintain proper form.
Using push-ups to determine your weak-spot
if you find that when you fatigue your back slumps the you require stronger lower back abs.
If you find that you can't start another push-up from the floor then your chest is the weak link.
If you find that you can't finish the top part of the movement, then your triceps are your weaked link.
The proper push-up
1. Lay on the floor, chest down, with your hands a little wider than shoulder width. Fingers pointed foreward.
2. Elbows must be fully extended. Toes on the floor, and legs together.
3. Back must be straight. Never curve your back!
4. Breathe out as you push off the floor so your arms are fully extended, rest for a half second and slowly move back down.
5. Your nose should touch the floor, or your chest should be around 4" off the floor in the rest position.
*remember to breathe! Inhale on your way down, exhale on your way up. Breathe deep and fill your lungs.
How many push-ups?
General belief among athletes is 200 push-ups per day.. However, this can be split throughout the day. You are considered in ok shape if you can do 10 push-ups. And in healthy shape if you can do 20 push-ups consecutively.
Variations of push-ups to target new muscle groups
this is my favorite part... Variations! There are so many ways to change up your push-ups.
Progressions
if you're new to pushups, you will have to work your way into them. Elevate your upper body to change the weight distributon to your feet. Using a flight of stairs is the easiest way to do this. Start on the 4th step for example, and do push-ups. When you can do 20 solid push-ups, you can move to the 3rd step up. Continue until you can do proper push-ups fully flat.
Once you are able to do this, you can begin elevating your feet so more weight is on your hands to continue the progressions. Keep in mind that if you dip deeper you will hit your upper back.
Weights
this is difficult to do alone, but with a friend to place a weight on your back. (between your shoulder blades---not on your lower back!). Alternately, you can use a backpack loaded with weights for your push-ups. (see? Bringing all those text-books home from school wasn't a waste of time afterall---now you have some weights for your push-ups!) if you have a little more cash to spare you can invest in a weight-vest with removable weights. Or utilize a sand-bag.
Delays
on your down motion, hold your body in the 'rest' position (with your nose touching the floor) for 3 seconds before beginning your next rep.
Tripod pushups
spread your feet apart and use 1 arm to do your push-ups. You will have to be fairly advanced to do this properly and maintain proper balance.
Claps
push up off the floor enough to bring your hands together and clap. You will need ample time to bring your hands back into position to be lowered again. This is very effective to develop that explosive power used for many athletes (such as boxers).
Fingertips
instead of using your whole hand, use only your fingertips for push-ups. This will help develop balance and symmetry.
Close-stance
instead of pushing your elbows out to the side on the down motion, keep your arms next to your torso. Your elbows will be facing the rear of your body (the direction of your feet). This is an extremely powerful isolation exercise to develop your triceps more than your chest.
Insides
keep your hands together and your feet around 1 foot apart. This will develop your triceps.
Prison push-ups
and i've left the best for last. By far my favorite and most challenging push-up routine. Even more fun if you're with a friend and competing... See who can make it further.
Use a deck of cards. Do the number of pushups that corresponds to the number on the card. Face cards (i.E. Queen, king, etc.) equal 10 push-ups. You will need a timer as you are only entitled to a 5 second break between cards. Aces entitles you to a one-minute break. Continue until you finish the deck. Amazing, but very challenging workout.
* variation. If you are trying this work out for the first time, rest up to 30 seconds between cards.