We have the big ugly black ones which freak me out so we use "cockroach hotel" traps. They are flat boxes with slits for the roach to enter and inside is a nice smelling attractant surrounded by superglue, the roaches can't resist the smell and get stuck.
We have the same kind of traps for mice. Picked up one trap and was so full of dead mice it actually felt heavy.
The size of the roach we saw downtown would have fit that no problem to. Talked to a local exterminator and they
told me its the rats the size of cats that scare them, and they eat those roaches.
