Welcome! We are in a fairly similar situation but we use the whole area. We use a topper behind a Siromer small tractor. That might seem beyond your current needs, but if you intend to make use of the rest of your land, you will find that a small tractor and implements will be very useful. (We were given a larger tractor too, which is used for larger machinery for haymaking, such as a baler.)
For the wet areas, we have found that planting willow and alder trees helps to dry the area, provides shade and firewood.