No to the vacuum cleaner!
Above, the nocturnal indoor thick-toed geckos and below, the diurnal outdoor dwarf geckos
The very large huntsman spiders come inside to hunt them, my cats love catching and mutilating them and we also get sad little squashed corpses in the doors but I just live with mine and enjoy them and their little gecko-turds. Perhaps a cat would reduce your numbers
I think I would prefer the geckoes and their poo to a cat, but that's just me! We have huntsman spiders but I've never noticed them hunting geckoes - I'll keep an eye open for that. I'm not serious about the vacuum cleaner although I have wondered about making a large pooter (used to catch insects by sucking them up) but I doubt my lungs are strong enough.
The large huntsman spiders do it at night when nobody's looking
By coincidence look what I found in the kitchen this morning! I guess the adult geckoes eat the smaller huntsmen but the full-grown huntsmen eat the smaller geckoes. With a point in the middle where they're not quite sure what to do.
Damn, it's war in there!