There is a souvenir shop for trinket lovers and bathrooms are on-site as well. After visiting the fort, you can cross the street to the historic shopping district, situated along St. George Street. See the oldest schoolhouse, visit the Indian museum and shop, or enjoy some of the delightful eats as you wander along the lively street, and admire the old homes, many of which are now shops. Not Museum only a short drive away. The Lightner Museum is also nearby, and has some really interesting exhibits to see for the museum lovers.
Exhibits vary considerably, so there are many time periods covered.
In walking distance from the Lightner Museum, you can visit Flagler College, which used to be a hotel in the early 1900s. The architecture is lovely. There are also several other smaller museums nearby, including a wax museum. The streets throughout the area are narrow and add to the ageless charm of the city. I've never taken one of the trolley tours around St. Augustine, but I've heard they are a great way to see the sights for those who prefer a more generalized excursion.