Just make sure that the action of not killing animals because of an infestation doesn't ruin your chances to practice. If pests make you seriously ill or wreck your house apart, you may find yourself in a situation in which you have your practice ruined. Not all have the possibility to buy a new home or the strength to recover from serious illnesses. So it's a matter of balancing pros and cons. By saving those animals, you will be providing relative benefit. They'll keep doing their business and next life they'll probably still crawl. By practicing hard, vowing to help all those beings to attain liberation, there's a chance one day you will able to fulfill your promise. We are only having this discussion because I assume you intent to practice hard. Otherwise you wouldn't even care. It's regrettable to kill any sentient being, for whatever reason, but not all can live in a cave with only survival conditions. Most would go nuts after a while. So, my suggestion would be first protecting your health and home so that you have the conditions to keep practicing. You, being a human, have a great potentiality to help other beings. Bugs and pests don't. This doesn't mean you need to fell good about getting rid of them if necessary.
About the occasional mosquito... they tend to land when you turn lights on. A glass and a sheet of paper usually are good tools to throw them out of the window. If you are kind enough to support a little itchiness and live in an area where you won't catch malaria or something, you can simply tolerate them. That's what I usually do. And centipedes too, but those I have to catch with the above mentioned tools as my wife is afraid of the little buggers. I never had mice, but the idea of killing them disgusts me. I can understand that sometimes people need to call the exterminator if they have a large infestation. Their flees were responsible for the dissemination of the black plague after all. I guess in the end it boils down to your true intention and skills. Do you have other viable option? If so, never take a life. Just be sure you've pondered all the scenarios and your own capacities to endure hardship, I guess.