Our one trip to the Grand Canyon was perfect.
We got permits for early to mid-November. Night before in Mather Campground on the South Rim (empty), down the South Kaibab Trail, two nights in Bright Angel campground (almost full), up the Bright Angel trail with an overnight at Indian Gardens campground (mostly empty), then out.
Weather was cold at the top (daytime 20 F), mild at the bottom (60 F day, 35 F night). Easy to carry more than enough water. No water down the South Kaibab trail, plenty at the bottom and on the way up (from streams and at Indian Gardens, no water at the 3 Mile and 1 Mile rests). We used a RayWay tarp, two-person quilt, and a Caldera Cone.