The Third Battle of Winchester was important in many ways. It opened up the Valley of Virginia for the final Union push. The signage and paths are excellent, whichever entrance you start at, and give you a real sense of how the battle was fought.
In addition, the Battlefield park brings you to a lovely creek, and to woods and meadows. It's a photographer's paradise. You do want to b aware, it you are in the woods, that you might be on a mountain bike path. Also, the park is quite large, and you might not want to hike all the way from one end to the other and back, especially on your first visit.
One entrance is on Redbud (not Rudbud) Road, the other behind the local high school. Both have plenty of parking and signage.