and congratulations on your purchase, I'd love to have some woods of my own.
Will you be hiring someone to do this, or doing yourself?
As you suggested, you might plant some shrubs or flowerbeds along the far edge of your lawn (?) for more landscaped look. Do you have some lawn? You need to plant a little ways away from the tree edge so they can have sun and not too many tree roots to fight.
This is maybe the messiest time of year for the woods, or most ;dead; looking as you have all the fall leaves and bare branches.
There isn't much of appropriate groundcover for under trees. I wouldn't try fighting the forest anyway, that's too much of a fight. But I could see a strip about 3 feet wide planted with wildflowers and or shrubs with berries for birds, and a gate in it would be a very nice touch, as suggested. And plan for several feet between your flowerbed and the woods, that you could have mowed or otherwise keep the woods from invading your planting.
shrubs with flowers and berries can be pretty for a lot of the year and also help bring the songbirds out for you. Many flowers also help birds as well as insects. If you do perennial flowers, you will want to mulch well around them to keep other stuff from growing up right away.