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Also what is the best shoe? I hardly ever wear sneakers and I live in my Tevas, but wondered if they would do the job.
In Utah you'll definitely want good shoes. I don't know of any good trilobite identification books for Utah, although Geologic History of Utah by Lehi F. Hintze is a great book on the general geology of Utah. It has geologic descriptions and measured sections for the whole state.
I assume you have already planned where to go, but west-central Utah in the area around the House and Confusion Ranges is best. The best trilobites, as well as some cool soft-bodied fossils of algae, worms and sponges, are in the Cambrian Wheeler and Marjum formations in the House Range (watch out for private collectors with shot guns in the Wheeler Amphitheater ..... seriously) but there are also some good Ordovician trilobites, brachiopods, ostracodes and bryozoans in the Fillmore, Lehman and Kanosh formations of the Confusion range.