The park has a few different areas to explore. It starts with the causeway, a 7 mile two lane road that has shallow water for the shorebirds and a deeper area that the grebes and phalaropes preferred.
The patch of woods continues to the west and I had sparrows and towhees in the brush piles on the western side of the grassy area. You can continue along the perimeter of the woods, which will take you back to the fenced in trees and buildings, or take one of the paths that leads back into the woods along the northern boundary and go back to the buildings by going through the woods. It's a small area with different birds in the different environments, so if you have the time, it's worth exploring.
I had a fantastic time here and, despite returning for several days, I really only explored a small portion of the island. I had too much fun in the areas I did visit to fit in everything! It was well worth the 3 hour round trip from our hotel to visit each day (I can't believe I just said that), but I'm definitely staying closer next time! If you visit Antelope Island State Park, I hope you have a wonderful time!