Of course, it is better to start shopping from Freedom Square. Here is a modern shopping center Galleria Tbilisi with many brand shops. Among other things, you can buy clothes and accessories from talented Georgian designers.
If you walk along Rustaveli Avenue towards Republic Square, you will see a whole chain of stores: children's clothes and toys, perfumes and cosmetics, bags and accessories, and the Merani Mall with more clothes, gift and souvenir shops.
The best part is that you will not feel tired while shopping, because at almost every step you will find cozy recreation areas, cafes and restaurants, where you will be welcomed and treated with delicious food, coffee and wine.