Bird houses can be hard to monitor, so bat houses may be a more productive. At least thy won't attract any of the junk birds. I'm unable to borrow back my own set of plans to share, but they can be found on the net as you'd expect. Our most common variety in MI and most of the Midwest is the "little brown" bat. It's heqq on mosquitoes and doesn't require much open space to nest or feed vs some birds.
I scatter 'mosquito dunks' (pieces, annually) in the dark waters of the woods next door for say $10/yr. (Can't give bats and birds all the credit for keeping the biters' numbers down.) That said, an 'ounce' of prevention may be difficult to appreciate or quantify. You do what you do and hope for the best. In small pools, ponds, etc that some birds or critters may feed from a handful of minnows can knock down generations of mosquitoes before they're all gobbled up. Sometimes 'crazy s__' works. No one thing does it all.
Decent mosquito traps must be fueled (propane, etc) and baited (C02, female attractant) and are intended to clear out generations each season during springtime. Seasonal timing is critical with them, and they seem to be more effective in subdivisions than around wooded areas or open land. Skeeters can only fly short distances, but winds will scatter 'em much farther.
Barn swallows may be among the easier bug eaters to provide for. They will nest in some areas that discourage invaders, esp around human foot traffic that spooks cowbirds and starlings. They don't require houses, much overhead clearance, or attached perches before they're feeding and ready to fledge. Nesting 'ledges' for them placed under eaves will often draw them, but should be very cozily tucked or cornered to discourage robins, say 5-6" max o'head room, etc. (Nest height will reduce that to about half.)
