Bit of a pain to do, but try removing the pads and press the pedal to move the brake piston out, not too far though, then give the piston a good scrub with fresh brake fluid using an old toothbrush.
I had a similar thing happen on my last motorbike, crap brakes when moving very slow but they felt ok at higher road speeds, once all the pistons where cleaned the brakes were superb
Not sure how many cylinders are on the car but I'd got 12 of the little buggers on the front of the bike