If you process B&W negs, then you'll probably want to do your own enlarging which is a big jump in the equipment and space required. I started out by processing slides at home. In school I noticed that a lot of people who were starting out by doing B&W were much less critical in their processing, thinking that they could fix anything in printing.
Pay attention to all of the safety warnings on the packaging. Rubber gloves are essential. An apron and eye protection are a very wise idea as well.