At Bryce choose Rubys Inn. They have several hotels at the complex, including the BW Grand and traditional Best Western Lodge. The Ruby family has been hosting visitors at Bryce for over a century. They are virtually the only game in town.
For Zion, the town of Springdale is right at the park entrance. You can find a wide variety of Inns and motels there, along with lots of dining and service options. We are partial to the Desert Pearl.
Book your GCNP reservation right now. Another poster has already discovered that his choice at GCNP for Nov 2013 is fully booked. Rubys Inn will fully book far in advance as well.
Edited: 1:05 pm, November 20, 2012