First, make sure you're not creating the conditions that invite these pests onto your property. Standing water attracts mosquitoes; take a walk through your property and make sure you don't have bowls of water, discarded tires, and other receptacles that can contain rain water. If you find them, get rid of them. Poorly stored food and stray crumbs can attract ants, roaches, and mice. Keep your food stored in airtight containers, wipe down counters, tables, etc., and sweep the floor frequently, discarding the refuse and removing in from the house.
Secondly, provide barriers, either physical or biological, to repel insects and rodents. Properly maintained and installed screens on windows and doors will help block flies and mosquitoes from the home. Simple to use, nontoxic home remedies can repel insects; for instance a brew of catnip tea, sprayed in a solution around cupboards, baseboards, and other areas, particularly in the kitchen and bathroom, can repel cockroaches.