I'd keep it pretty much as is and go out riding on it
After replacing bars similar to those on my old Claud Butler hybrid a few years ago, I've actually now gone back to them. Otherwise flat bars and bar ends or butterfly bars are good options.
If you want to put drop bars on , then from experience it'll be a pain if you want to keep the gears. You can get v-brake pull drop bar levers, but they don't have shifters in them, and the trigger shifters from the current bars won't fit. To go the other way and fit Canti brakes, you would need hangers front and rear for them (rear one would be a seat post collar one).
The rear mech will be fine with either sort of lever, but the front one will be MTB specific so would need to be replaced. Also flat bar bikes have longer top tubes, so along with your bars you would need a shorter stem.
I did turn my hybrid into a drop-bar singlespeed for a while, but it's now back in flat bar mode. This was how it was set up: -