new mobility program from Sarah Kusch: https://grokker.com/fitness/stretching-and-mobility/program/10-minute-mobility-snacks/645c259bd647f852e2e5d405
Hi - One marvel of yoga is that it may be done anywhere at all with no equipment whatsoever, just maybe a towel on the floor (a) for hygiene and (b) to avoid slipping. If you want to get fancy with equipment, there are two different replies to your question because there seem to be two different types of American yoga:
(a) yoga with lots of movement - vinyasa flow yoga, hot/bikram yoga, corepower yoga, ashtanga yoga, power/baptiste yoga, jivamukti yoga, anusara yoga and to some extent kundalini yoga. If you would like to try any of these forms of yoga, you might find two pieces of equipment helpful at the beginning of your journey: (i) a block/brick (but you can substitute with a squat book like an encyclopedia and (ii) a strap (but you can substitute with a belt or a rolled-up towel).
(b) yoga with very little movement - yin, restorative and hatha. If you would like to try these forms of yoga, you might like a bolster (but you can substitute with a sofa cushion) and a chair with no arms, just a seat and a back.
The only piece of equipment that you might find super-duper useful very often is a yoga mat, because a mat does tend to feel much more convenient than a towel in the long term. A yoga mat does not have to be expensive or fancy. The first video by Adriene Mishler above says it all. Good luck and best wishes! :)
https://grokker.com/fitness/collection/yoga-with-adriene-mishler/6009c7453fa6704a3439b548
https://grokker.com/yoga/collection/flow-yoga-beginner-intermediate/60ce43f84cb7214269a7ea13
https://grokker.com/yoga/collection/gentle-yoga/603f6d0ab356ab7d31b8bc7a