What? Those are direct mount brakes for TT bikes those are not at all what you want. You need some form of single bolt brake. Exactly what you need will determined by looking at your brake, is it nutted or not?

Stick with the Tektros, if you need to upgrade SwissStop or KoolStop and Jagwire Pro Cable Kit will solve that problem. If you DO NOT (I repeat DO NOT) have nutted brakes then here is a good source Scrodzilla is a forum member and does have a brick and mortar location. Rivendell Bicycle Works also sells them and is a big proponent of them but I believe they are currently out of stock of the Nutted version.

If you had the very specific mounts for Direct Mount brakes, Direct Mount is what to go for but those frames are few and far between and all quite modern. The closest vintage cousin would be the Centerpull brakes but those are different mounts and also different mounts from Cantilever and Linear Pull (or V-brakes if you are. talking Shimano specifically) brakes.