The best fence we've used for goats is electric mesh. It's portable and the only thing that's ever kept in ANY goat we've ever had.
www.premier1supplies.com/

Two to three sets of mesh should be plenty for 5 goats.

This is also the best fencing to keep predators OUT.

Goats are browsers, not grazers, so would prefer the woods to the pasture.

Goats also need shelter. Nothing fancy, but they need a roof to keep out the rain.