Yes goats would love it, I have 11 of them and they can clean a place off in no time flat.
We used two different types of fencing. we used 2x4 fencing, with holes that are this small goats cannot get their heads stuck.
the second was field fencing, with holes at the top of 6x6" and gradually smaller to the bottom of 2x6" I beleive. this one I hate, the goats can get thier head through and then they are stuck if they have any horns at all.
A friend of mine tried the electric fencing and it worked ok, the goats still got out once a day or so.
we have two different types of barns also. In our billy yard, that the girls go to visit, we have a three walled shelter big enough for four goats, it is 4x8' With the back wall facing where the wind comes from it helps protect them from the elements.
The other barn for the girls 8 of them, is 16x20' and has four walls, windows and we are waiting for the door to be built.
If you are just going to get a couple of goats, the smaller type would be what I would use.
As far as clearing the place off, we have the girls in a pen appox 2 acres in size and it was full of brush and small pine trees, and in two weeks it was bare. This was with three girls only.
Hope you enjoy the goats and hope this was useful info.