Most often referred just as the "Kiev's Bath" which is a direct translation from Russian "Киевская баня". This sulfur bathhouse is located on Kiev's street (left side cross-street from David Aghmanashebeli avenue)
Kiev's bathhouse in Tbilisi
I have been heading here since days we had a nice apartment in this neighborhood on Rome street, discovered first at the end of 2012.
Some would call Kiev's bathhouse old and neglected (and that's true), some would call them a good and cheap alternative to those more expensive (and more fancy) located in the Tbilisi Old Town. I'm the person admitting, yes they are old and neglected (though lately they are doing some renovation on site) but they are really cheap, one hour bathing here will cost you
10 GEL ($4.50 / EUR 4.10) ( the price has been increased to GEL 20 per hour at the start of 2016) and it's more a way locals do it.
Pools are pretty small, but quite OK for one/two persons
The bathhouse is run in two shifts which means they are working 24/7, by days there are nice old ladies and in evenings/nights there are a bit scary man running bathhouse. In times when ladies shift is running, bathes are clean, in times when it's a man shift - it's 50/50 :) I doubt any personal here speaks any English, some basic Georgian or Russian language knowledge is needed.
You can order a cup of Turkish coffee from old ladies running this bath, it will cost you 1 GEL.
The Bottom Line
Kiev bath is cost effective alternative to those located in Abanotubani. Depending on your budget or just a way to see how locals enjoy sulfur baths - I can highly recommend this place.