A sequence of actions including both the rising of the knees and the flexing of the feet is the best natural therapy you can offer your feet.
One such activity is the Dada-Vajra Kriya. I doubt any chiropodist would be able to explain the advantages of this simple action.
1. Take a seat in Vajra Asana.
2. Raise both knees as in Dwijantu-Uttana Kriya on an entering breath.
3. Exhale deeply and lower your knees to the floor.
4. Inhale deeply and rise to your knees, tucking your toes beneath to the floor.
5. In the posture Vita Asana, the Hero's Pose, sit down on the heels on the outgoing breath.
6. Come up onto the knees again on an inhale, turning the feet back to the floor.
7. Take a deep breath and sit in Vajra Asana on your heels.
8. Repeat the entire cycle, noting that each round of the Pada-Vajra Kriya takes three whole cycle breaths.
You may also want to read more about Yoga here.
You may also want to read more about Yoga Asanas and Exercises here.