The Matrix says:
A great hands-on method to try out is a French Press with pre-ground coffee. For this method, you boil water on your own and add it to a vessel with the coffee grounds. The water and grounds mingle together and the water dissolves the yummy stuff from the coffee into the water. Then you use a metal plunger to let you pour the coffee out.
French Presses can make really excellent coffee, and they are relatively hard to mess up. The downside is making water in a separate container, and also disposing of the grounds (You have to knock them out, scoop them out, or rinse them out.).
You can get even better results from a French Press by using a digital scale to control your ratios (usually 13-16:1), buying better beans, and/or grinding them yourself. Immersion methods like French Press are more tolerant of uneven grounds, so a spinning-blade grinder can work for this method.