Below are some suggestions for what to bring with you. Winter rains are usually gentle, not torrential. Do not expect the same fine weather. Daytime temperatures are usually in the 60s, which will feel warm in the sun, decidedly cool if there is wind. Overnight lows can drop into the upper 30s or low 40s.
Rain is possible.
Your boots will not protect you completely, but will give a cushion of time for pulling cholla spines out of the soles with pliers should you inadvertantly step on one. A hat is almost a necessity. The Arizona upland of the Sonoran Desert is not wilderness. The Tohono O'odham have been living here for many centuries, most of that without modern conveniences. A generic list of camping gear can be found here.