It's like a small pitcher with a movable filter, you put in the ground coffee, hit water, stir, wait, push down the filter with the grounds, pour off the coffee with most of the ground staying in the French press.
I switched to a French Press recently-ish. Instead of 4 or 5 cups of weaker coffee from my single serve drip thingie, I have 2 strong cups from my French Press and am ready to go. I'm thinking about trying a pourover to see how that is. Espresso is tasty and strong, but I don't think I'd want it NEARLY enough to justify a machine. I usually only do espresso when I'm traveling, makes me feel fancy having a latte in the big city haha.
All that said, coffee is very individual. There is no "right" answer. If you're happy with drip, than drip is the way. :)