Important: Hallux Limitus/Rigidus (literally "big toe stiffness/rigidity") is a symptom. Generally arthritis caused by an injury or bio-mechanical issue. What has worked for me or someone else may or may not work for you.
I have Hallux Limitus/Rigidus one one side. First symptoms appeared without any identifiable mechanism of injury - most likely hereditary. Cheilectomy surgery ~4 years later when pain became so severe I was limping all the time. Joint surfaces intact but post-surgery ROM was and is significantly less. Very long recovery period with very gradual return to climbing. Almost flat rigid CF insole in climbing shoe on affected side, and toes must be completely flat. Toe is often still sore after long days of activities such as climbing and hiking. Recently I've been able to forgo the CF insole during gym bouldering sessions only - first time in 6 years.
Standard treatment (regardless of surgery) frequently includes wearing very stiff and usually rockered shoes. They actually cause me even more pain. I've determined through experimentation that the issue lies in the usual forefoot upward "pre-curve" of the shoe, which always keeps the toes flexed. Most shoes have this "pre-curve" but the stiffer the shoes, the worse the effect is for me. Walking in stiff cycling shoes, even less aggressive "touring" models, becomes painful quickly.
Altra shoes, including their casual models, are by far the most comfortable shoes for me. They have zero-drop (less loading of the toe area when standing), limited "pre-curve" in the forefoot, are very flexible, and are quite rockered in the more cushioned models. It's pretty much all I wear now.
Secondary issues to be aware of: Hallux Limitus/Rigidus can affect your gait which can negatively affect your knee(s), hips, and back etc.