I seem to have a modest war with bugs going on now.
When I first moved in, I noticed an ant or two around. I put out some ant bait traps. They're still around, not in hordes, but often enough that it bothers me. I've put out the remaining bait traps in an attempt to get rid of them all. I'm wondering if I'm going to have to get a bunch of sealable plastic bins to put all my food into.
To cool off the apartment, I usually have most of the windows open. (Of course I end up opening and closing various blinds and windows based on where the sun is coming from to minimize heat coming in and maximize cool air. This is a pain. I will never live anywhere without central air again.) At night, this becomes a problem, because if I turn on a light in the apartment, I get flocks of tiny little gnats, which can apparently fit through the screens. I bought a "bug light" which insects are supposed to not be attracted to and put it into a lamp which I used for a while at night. It does seem to draw somewhat fewer gnats, but those that come in swarm around the lamp anyway, so I'm not sure how well it really works. More recently I've taken to isolating myself in my bedroom (where I have the window unit) with the door and windows shut at night. For this problem, the coming of winter will actually be a blessing, since I can leave my windows shut.
Then there are the spiders. I found one big one inside my front door the other day. (He is no longer with us.) There was one who kept building a big web attached to my mailbox. I would knock it down everyday when I saw it, and it would keep getting built back. (I didn't want whatever it was to try to eat the mailman someday.) I never could find the spider who built it 'though. Last night I when I went to take out the trash, I found the bugger rebuilding the web. Great big nasty looking thing. I squooshed it, and now the mailbox is web free. (Yes, I know the spiders will help with the other bugs, but there are some places I just don't want big nasty looking spiders. If the one on the mailbox had relocated somewhere else--say, the bush below the mailbox--I would have been OK with that.)