In my youth, when I was still immortal, I discovered that it was easier to ride a bike than to walk while fairly drunk. On a bike there's only two directions to fall, the the bike offers quite a bit of help, while footbound, I' all on my own and able to fall in any direction.

That said, you have to think about why you're falling, because if there's an underlying balance issue, you don't want it to crop up at speed.