Next on: Strap. It is one of the props I rarely use. It is good for some yin poses, for some flexibility poses, but it also can build bad habits as. you might rely on passive flexibility when you use strap to be able to hold the foot in Utthita Hasta Padangusthasana and its friends.
So I wouldn't necessarily run and buy them.
Bolster, I have to say they are so amazing, but also you won't be taking them to the studio (unless you want to look like Santa Claus carrying a gigantic bag) and it is one of the props that can easily be a dust catcher in the corner. I love sitting on them, stretching on them, but if you don't practice yin at home they easily become the forgotten pillow of the house. On top of that they aren't cheap. So unless you really going to utilise them I would cross them off from your list. If you still want one, look for one filled with buckwheat or any other grain as they can be shaped and it won't loose its form after using it for a while.
Then you have all the yoga wheel, FeetUp, acupressure mats, incense, singing bowls and all the lovely things that probably you won't need. But I will get back to those in a second blogpost before this one gets too long.
All in all, Yoga is a huge huge business, and just like having a first baby you might hear that you need all the things you can get. but really you don't.
Start with basics (and no, they aren't Lululemons or Sweaty Betty leggings.)
You only need yourself and your will to step on your mat and maybe later you can invest into something that would accompany you on your journey to self-awareness.
Jai, Melinda