When I bought my horse he was being ridden in a Dutch gag, flash noseband and running martingale... I don't like gag bits so I swapped it for a French link eggbutt, only he didn't like that, so I went to a straight bar happy mouth and he didn't like that much either. As a last resort I got a flexible rubber snaffle and he goes fine in it. No brakes or steering problems at all! Then I took his noseband off completely, after a bit of faffing about I'd discovered he has quite fatty cheeks, so the noseband was squishing his cheeks into his back teeth, so he was in effect biting the insides of his cheeks while I was riding, and once again he's going fine sans noseband! At this rate I'll be riding bridle-less!