This instructable will tell you how to make your own cider without a press.
You will need:
Sieves and muslin cloth
Tubing for syphoning off
Demijohn & airlock
Campden tablets (to kill the yeast)
Yeast of your choice
Finings to clear the liquid
Bottles to store it in
A hydrometer to measure specific gravity and hence alcohol % is useful
Step 1: Prepare the apples and juice
Chop the really bad bits out and cut down to whatever size is required for the juicer, then pass through the juicer.
I then use a fairly fine sieve to remove and lumps and pour into a cocktail jug to collect.
Once left it will separate in the cocktail jug, sediment at bottom, yummy juice in middle and foam on top. My cocktail jug has a mesh type pouring attachment so will retain most of the foam and some sediment as you pour in the next step.
Then pour this through a muslin cloth into another bowl. You can skip the first sieve stage but then your muslin will get clogged quicker.