How difficult is it to make alcoholic cider at home? Is the process basically the same as making beer?

Deke asked: I don’t drink a lot of beer, but I do enjoy good cider (Woodchuck, Strongbow, etc.). I’ve seen those “brew your own beer” kits at various places, and thought about giving it a go, but I would be significantly more interested in brewing my own apple cider, blueberry cider, etc. [...]