Common misspelling, but it's Tucson
You'll be near an entrance to "The Loop" which is a great shared-use path that circles all of Tucson, plus has a ton of splinter trails. The complete Tucson loop is about 65 miles and of course to can do shorter out and back rides, OR part of the loop, then cut through town if you're comfortable riding in traffic. Mountain Ave, 3rd St, and Pima St are bike friendly, Avoid Speedway Blvd and Grant Rd.
https://webcms.pima.gov/government/the_loop/