I used to be able to keep up with the things. We ordered take-out a lot.
My weapon of choice: surface cleaner. Nope I don't own a fly swatter. Something about splattered guts in my kitchen really offends me.
The surface cleaner I used, before I greened up my life, poisoned them outright. Only one spray required. The non-toxic stuff does not kill them outright. You have to spray multiple times and drown the beasts.
Bet you didn't know Betty Crapper was a murderer.