Personally if going from brown to black, I would use a good quality paint and paint it black. Clean well and sand to cut the shine. Paint with your choice of satin, semi-gloss or gloss.
If you do decide to strip and restain, you don't have to go back to bare wood and try to remove all the old color. Once you get all the finish coat off then you can sand and put the black stain on over the brown.
However, I just had a thought! You say you haven't had it very long. The chances are the color is in the finish coat and it may be finished with polyurethane, which is practally impossible to remove.
So scratch all of the above. Follow the advice to go to a GOOD paint store. Sherwin Williams or Kelly-Moore. Take a drawer with you so the paint experts can try to determine what kind of finish you have and then can tell how best to get it black.