Is it possible to buy towels if you don’t want to lug them from your hotel? Any other tips about using the baths? My adult son and I will be there in early July.
This thread has a ton of information and may provide some help.
https://community.ricksteves.com/travel-forum/hungary/baths-advice
Yes. Here is how: https://szechenyibath.com/szechenyi-baths-towel-rental/
You will need shower shoes (flip flops) and a swimming cap (not essential but ... )