There are a number of advantages to drop bars. They provide a number of hand positions which make them more comfortable on longer rides. You can sit up and ride on the flats (much like you do currently on a hybrid), you can ride on the brake levers which, if the bike is set up right, is very comfortable and gives you a lot of control, and you can ride in the drops if you need to get aero. Drops make for more efficient bike riding since you are more aerodynamic and this is a really big deal esp. on any sort of a longer ride. You have a bike with flat bars for tooling around town with; get a bike for drops for your longer rides. You'll be happy that you did.