Originally Posted by
xenologer
assuming your previous brakes were the centerpull type?cable goes straight up the center to a hanger on the headset? -yeah, cable routing difficulty aside those are actually pretty strong brakes
OP says "direct pull" cantilevers, which I assume means V-brakes or something of a similar design. OP, there are levers available for drop bars (which is what your bullhorns are, for the purposes of lever selection) that will operate direct-pull cantilevers. You could also use "mini V-brakes", which work the same as most direct pull brakes, but are compatible with standard-pull brake levers.
Old-fashioned centrepull cantilevers are also an option.