I used a birthing mat, the birth centre had them there. TBH I hadn't even thought about it - but then I got there and was like "I need to go in the shower" and they put it down for me in there. Then when it came time to pushing they moved it out, toweled it off and put it down for me to kneel on.

Worked well, whatever it was. I think Peanutter's suggestion is a good one, a yoga mat.

Perhaps see if the hospital have one they provide?