Picking up fallen sticks and branches is constant - so you can mow, before you back out of the driveway, etc.
What is the area under the trees like - will you mow it? Is there enough leaf mold to keep undergrowth down? This time of year, you can see/walk thru our wooded fringes, but come Spring the raspberry canes and goldenrod pop up and make it largely impassable. Mowing can be difficult with close trees and bumpy roots.
Don't park under trees - we had a freak straight line wind storm blow thru almost 20 years ago. A huge branch split off the silver maple out front (really half the tree) and lay across the hood of our car, pressing the bumper to the ground. The willow tree in a side yard fell toward the house, so that the flexible branches were splayed against our children's window (not broken, amazingly), and the trunk was across our tenants' driveway - thankfully, they weren't home, or their new car would have been crushed. DH and a friend spent all day with chainsaws, and cut enough off the branch on our car to be able to roll it off. The car bounced back up off the ground w/o the weight, and DH could drive it - to a dealer to trade it in.
Ice storms create more risk of tree damage. Tips of branches tend to snap under the weight of the ice.
What types of trees are they? Some are more sturdy, some more weedy or weak. Some, like black walnuts, drop nuts/etc that need to be cleaned up. Black walnut husks stain, and the tree roots put out a toxin that inhibits other plant growth (so could affect a proposed garden, for instance).
Now, don't get me wrong, I love our trees, and couldn't live on a moonscape treeless lot. The shade in summer is welcome, and they are beautiful. Just wanted to mention the things I've learned from experience.