Fortunately, in my house I rarely have to deal with anything more than the occasional roach, or about once a year, an attempted sugar ant invasion (they love going after the water in the tub). There are also spiders, but I don't mind them. I'm perfectly happy to let the spiders eat whatever they're finding to eat, and we leave each other in peace. My cat, however, is of a different mind.
Outside though, I have to have a guy come by every other month to spray for hornets and to put antblock around the foundation. I think anything bigger and nastier usually gets eaten by the armadillos - though the dillos tear up my back yard something fierce and keep digging holes under my fence.