The whole chequerboard floor thing has become a bit of a cliche, like flat black cars with red wheels. At the end of the day though its your garage and you can do what you like with it.
For me, my floor is currently a nasty mixture at the moment, the middle stall stall is concrete, the workshop end is half concrete half original blue engineering brick and the third stall is all brick. I'll probably go for a solid color on the workshop end as I'm planning on a new concrete floor, a pattern would look out of place in a 100 year old building and with the vibe I'm aiming for, it'll probably be either flat grey or green floor paint, the other two I'm hoping to lift the brick in the first stall and then relay it nice and flat and the second floor longer term I aiming to remove the concrete floor and re-lay it in matching brick some of which I'll save from the workshop end and the rest I'll have to buy in from a salvage place ( although the bricks may well still be under the concrete if I can get it up without damaging them.)