Free admission, open daily from eight in the morning until quarter to nine at night, and you keep what you find. Mineral Wells Fossil Park is a city-owned park in Palo Pinto County, and because of that the 300-million-year-old material you pick up is genuinely yours to take home, for personal use rather than for sale.
The origin story is almost too good. The City of Mineral Wells dug a borrow pit here for fill dirt and closed it in the early 1990s. Then it just sat. Twenty years of rain and erosion peeled the layers back and exposed a fossil bed underneath, and an abandoned dirt pit turned out to have been a Pennsylvanian time capsule the entire time.
That period is the selling point. Everything here predates the dinosaurs by tens of millions of years. Three hundred million years ago this dusty patch of north Texas was open ocean, and what washed out of the banks is the population of a shallow sea floor: crinoids, the sea lilies that look like plants and were animals; echinoids, ancient sea urchins with their spines; brachiopods and pelecypods, shelled things related to clams and oysters; bryozoans that built reef-like colonies; corals, which are the proof the reef was real; trilobites; and primitive sharks.
The practical appeal is that none of it requires skill. There is no equipment to buy and nothing to learn first. Fossils here sit at or near the surface in enough quantity that a first-time visitor kneeling down with a bag will find things in the first few minutes, which is a very different proposition from a site where you need a hammer, a permit and a season of practice.
Bring water and something to kneel on. Palo Pinto County in summer is hot, open and short on shade, and the ground you are searching is bare dirt.
Crinoids, brachiopods, urchins, trilobites · Pennsylvanian, ~300 mya
Open to the public for collecting, and what you find is yours to keep. Check the posted rules before you start: they can change with the season and the landowner.
Other places on the map within a couple of hours.