In Batumi at this time, a taxi will help you. It's quite accessible there. Or arrange a transfer where the accommodation is booked.
And we bargained in full. Even from the airport, when I arrived, they called me 50 GEL, in the end I left for 20))) But I knew the real prices (my husband worked there and he said that the price was actually 10-15 and only because from the airport) , but not 50. Naturally, taxi drivers take advantage of the fact that visitors do not understand prices and beat them to the fullest. Here from the price that they said, you can safely take away half.