Swift Swordsman 5e

I want to play an incredibly quick swordfighter! I'm looking for fast attacks, quick movement and sheer SPEED! I've looked into a few classes but I don't know which to pick.
Swashbuckler Rogue was my first idea, the darting in and out of combat with a free disengage and dash action on a bonus action all fit the theme. Rogues can only really make one attack per turn though, instead of many quick attacks.

Any ideas, we all get free feats so I will probably end up taking the mobile feat!