Let us start the discussion on avoiding surgery for Hallux Rigidus as our first option. Let's try conservative care for awhile. Here is my original Blog Post way back in 2010 on this subject.
Here are 2 PTs discussing mobilization of the joint. I typically do not recommend putting a rigid hard device under the toe that hurts initially, and I typically avoid the standard dorsiflexion and plantarflexion motions, but it is okay to see how it feels.
https://youtu.be/xORPFVXv6_M
https://youtu.be/xORPFVXv6_M