We live in a development that backs up to woods that connect to a state forest. We love it, but we accepted early on that we are living on land that was once these animals' habitat!
Yes, bird feeders can be a problem with squirrels (we have a baffle and they are up high) and bears (we haven't seen any). We have small dogs and the absolutely are not outside alone even for 5 minutes - we have coyotes and hawks. We have to keep the eaves in good repair and the areas where the gutters attach to the wood - otherwise squirrels will find a way in to next in the attic insulation. But birds also eat insects, and the bats that live naturally in the area do a decent job on mosquitos.
We don't keep any standing water, even in a flowerpot or a child's shovel, but then again, people in cities have to worry about a rain-filled bottle cap on their roof which is enough for a few thousand mosquito eggs. Yes, there are ticks, but there are ticks in the suburbs too!
Deer can eat the lower foliage of bushes particularly in bad winters, but you can choose landscaping carefully to have reduced problems. I remember growing up watching deer on my grandparents' property, and thinking how wonderful it was. So I enjoy the deer we have here. I just don't drive fast, particularly at night - the "deer in the headlights" image is very real, and they can come out from the snowbanks or the woods' edge very quickly.
There are plenty of animal-proof trash containers. We have found squirrels are clever enough to pry the lid off a small metal garbage can (we kept birdseed in one until we learned otherwise!) but the large, 2-wheeled cans with the heavy flip lid are too much for them and for the raccoons. We have had a problem unless the can was filled so much that the lid didn't close.
We covered our son's sandbox so it wasn't a litter box for outdoor domestic cats, let alone wild animals. But our son also had fun going on nature walks, (we always took a bucket), digging for salamanders, watching tadpoles in the vernal ponds and creeks, built ant farms in clear plexiglass containers so he could watch the tunnels develop, and a whole host of other things. He spent a lot of time away from TV screens and video games, and he turned into a curious, exploring, creative child who could make his own fun.
I don't believe in excessive fear of bugs or mice - they are part of nature. Somehow, a few spiders and field mice in the house now and then are less worrisome and annoying to me than the cockroaches and rats we had in the city. So my point is, animals are around us all the time - it's a question of what we notice and what irritates the hell out of us.
For practical purposes, you have to be sure your driveway is plowable - you need a reliable plow person (and you need to budget for that), or you need a plow yourself. You may be at the end of the power lines, so a glitch or outage anywhere along that line will affect you (I'm 2 houses from the end of ours, so anytime some knucklehead drives drunk on a Saturday night at takes out a pole a half mile away, I lost power!). The major storms of the past few New England winters and autumns (Irene, Sandy, blizzards), we had to prepare. You could consider a generator to give back-up power to the refrigerator and a few lights.
For practical purposes, remember that you are far from the stores - so you won't want to plan on running out every time you run out of pretzels. That eats up time and gasoline. But getting organized and occasionally managing without "essentials" is a great experience for kids too!
Finally, consider if you are in a neighborhood with other children. There's not much traffic on our streets so the kids are out all the time in this neighborhood, and it's a great thing. Other kids may enjoy visiting your house too!
Veggie gardens can be fenced, you'll learn about natural deterrents to rabbits (fox urine spray, marigolds), your kids might learn to grow veggies and actually eat something that didn't come wrapped in cellophane, and you'll occasionally sacrifice tulip bulbs to the chipmunks and the flowers to the rabbits if you don't protect them. But the garden centers can help you with easy ways to do that without artificial chemicals.
You can also make this "oasis" a place that friends want to come visit.
Good luck!