I agree with Fox. My lot was wooded when I started; I cleared just the building envelope far enough back that if a tree did fall, only the top branches could hit the house or garage. Plus I had to clear the septic field.
I left 2 large oaks (2') within 20 foot of the house, wish I had taken them out, now they want $1K each to remove them.
When I built the garage, I left one Beachwood around 20' off the one corner, but it is leaning the other way.
Some times I feel like taking them all down. I can't have a garden because of all the shade. I would love to plant a small orchard.
Trees are nice, but if there is a chance of them falling on your building, pay little now or a lot later.
My Dad also built his house in the woods in the early 70's. We left every tree we could, as that was the "looks" back then with contempary homes. Over the years he has had 3 trees fall on the house, one get hit by lightning 4 times which follows the cable TV wire into the house and destroys everything attached to it. He has spent thousands of dollars having trees removed. The insurance company has spent thousands of dollars fixing the roof. In addition, there are other disadvantages; the roof never really gets a chance to dry at times because of all the shade. I can remember growing up how much yard work we had to do just so we could throw money away trying to grow grass. We even had to get rid of the above ground pool, it would never get warm enough to use