The French Quarter, located in the downtown area of Charleston, is one of the more historic neighborhoods in the city. Some of the streets even have brick or cobblestone instead of the more modern asphalt!
Charleston, like the rest of South Carolina, typically has hot and humid summers. There also tends to be plenty of rainfall. However, due to Charleston's location on the coast, you will also likely experience plenty of nice summer breezes. Winters in Charleston tend to be wet and cold. Thankfully, Charleston will typically experience rainfall and not snowfall.
Thankfully, you will find some sidewalks throughout this city, however, many of the streets are extremely narrow, so you should still always exercise caution while out walking Spot everyday. Additionally, many of the sidewalks are quite old and can be made of concrete, bricks, or cobblestone, so always watch your step and be careful while out exploring!
The boundaries of the French Quarter include North Market Street to the north, the Charleston Harbor to the east, Exchange Street and Broad Street to the south, and Meeting Street to the west. East Bay Street also runs through this neighborhood and is a major roadway in the downtown area.
Washington Square is the other greenways located in this small neighborhood. This greenway is a well-manicured park outside the Charleston City Hall. While it may not be incredibly dog-friendly, it is still a pretty park to stroll through during a daily walk.
Other nearby greenways include Hazel Parker Playground, White Point Garden, Moultrie Playground, and several manicured parks outside of local churches. Both Hazel Parker Playground and White Point Garden have dog parks, so you and Spot have plenty of options for new parks to explore!