All the city center you can get around on foot. I recommend to visit Narikala Castle, Statue of King Vakhtang Gorgasali, walk through the streets of the old town, to look into the bath.
The cost of private rooms in a bath 16,5 USD = 40 GEL per hour. If you're lucky, you can find public baths, a price tag in about 1,2 USD = 3 GEL
Tourist excursions are offered on every corner. Here are some suggestions.
Prices for day tours from 41,3 USD = 100 GEL
There is a sightseeing tour by bus. Prices from 14,5 USD = 35 GEL per 24 hours. Details on the website citysightseeing.com.ge. Tickets can be bought on the bus when boarding.
Souvenir shop in the old city center. Negotiable. Also in the gallery exhibited paintings and sculptures by local artists. Price from several hundred to several thousand dollars.
Currency Exchange presents no difficulty. The course is always good, small fork, everything is safe, do not take commissions.