Certainly! Tbilisi, the capital of Georgia, is a fascinating city with a rich history and unique culture. A walking tour of the city is a great way to explore its many attractions and get a feel for the local way of life. Here is a suggested itinerary for a Tbilisi walking tour:

1. Start at Freedom Square (Tavisuplebis Moedani), the main square of the city. Admire the impressive statue of St. George slaying the dragon, which stands in the center of the square.
2. Walk along Rustaveli Avenue, the main street of Tbilisi, lined with impressive buildings and landmarks, including the Georgian National Museum, Rustaveli Theatre, and the Parliament of Georgia.
3. Visit the Tbilisi Opera and Ballet Theatre, a beautiful building with a stunning façade. If you have time, catch a show at this prestigious cultural institution.
4. From the theatre, walk down to the Kura River, which runs through the city. Cross the river via the Bridge of Peace, a stunning modern structure that has become a symbol of Tbilisi.
5. On the other side of the river, climb up to the Narikala Fortress, an ancient citadel that overlooks the city. From here, you can enjoy panoramic views of Tbilisi and its surroundings.
6. Walk down from the fortress to the Old Town, the historic heart of Tbilisi. Stroll along narrow cobbled streets and admire traditional Georgian architecture, including the famous Tbilisi balconies.
7. Visit the sulfur baths, a quintessential Tbilisi experience. The sulfuric waters are said to have healing properties and have been enjoyed by locals for centuries.
8. Continue to the Tbilisi Mosque and the nearby Meidan Bazaar, a colorful marketplace where you can buy local crafts and souvenirs.
9. Finally, make your way to the Anchiskhati Basilica, the oldest church in Tbilisi, dating back to the 6th century. Admire its beautiful frescoes and soak up the peaceful atmosphere of this ancient site.

This walking tour should take around 3-4 hours, depending on how much time you spend at each stop. Make sure to wear comfortable shoes and bring plenty of water, especially during the summer months when temperatures can be high. Enjoy your exploration of Tbilisi!