Some places are a lot worse than others. The nearer the ground floor you are the more likely it is you'll have rats or cockroaches. Wooden places are terrible for rats. I'm lucky in that I have very few mosquitoes, and it's very rare that a rogue or flying cockroach will turn up. I've only had two mice/rats in 5 years and I killed them. Sometimes it's neighboring properties that are infested though and any you kill will just be replaced in no time.

There's not much you can do about them other than fill cracks in tiles, spray areas around entrances with bug spray, spray bugspray on the bottom of the legs of your furniture. Also keep the place as clean as possible, get food/ drinks removed asap to the bin/ sink, don't leave dirty dishes/ open bins around, clean any splashes of drinks up pronto, keep mosquito screens closed, change the bed clothes regularly if that's where they are gathering.

Despite their size ants are a scourge and I've lost count of the amount of food I've had to throw away because of them. There are tiny ones (maybe some people call them termites) that are almost invisible. Leave a grain of sugar on the ground though and in no time there is a whole train of them marching across your floor. Those they don't bite as far as I know. There is another common black ant that swarms like crazy around drains, potted plants, garbage etc which I don't think bite either.
Then there are very small red ants around. Small in that that they are hard to see but a bit bigger and tougher than the last ones. These are a fucking menace. They have this trick where they'll climb onto your bath towel. So next morning or whatever, you have a refreshing shower and dry off and get dressed and get on out. Then halfway down the street you notice this weird feeling on your scrotum. And then something similar on your back. They cling on like crazy and it stings, and when you pull them away they often leave their jaws/ head behind. The real bad boys are the big red ants though. If you ever decide to sit down in a pleasant spot in the countryside, or lean against a tree, beware. There are millions of these everywhere, and they bite and sting like a fucker.

Edited for clarity.

Spraying isn't an ideal solution, the spray is very toxic so it's best to use it as little as possible.