It isn't going to make apple juice or grape juice, but a puree.
The best thing for making juice is a steam juicer.

Here is a link that might be useful: steam juicer

Thanks for the response Linda Lou. I've used a borrowed steam juicer before and they do make nice clear juice, but it's rather slow for doing large quantities and seems to leave a lot of juice in the pulp. I was hoping for a faster method. Perhaps I should look into building a press instead.

I have a steam juicer and a couple of food mills, all of which come into play in good fruit years. The grapes do especially well in the steamer. We've been avoiding buying a cider mill/press,but will probably break down and do it this year if the fruit set is good on the apple trees.

We have been successful making apple juice, pear nectar and wine, but can't make real cider without raw juice. For that you need an apple grinder/press.

Planatus, I've been thinking some about building my own juice press. Have you seen any designs on the web that you like? There are various homemade presses shown on YouTube. I like the one at the following link as I already have a small hydraulic bottle jack I could use.

Here is a link that might be useful: Homemade cider press