Austell is a teeny-tiny town so you may be hard-pressed to find an airbnb within city limits, however, there are likely plenty of options in these closely neighboring towns:
Close proximity with access to the Silver Comet Walking Trails:
Mableton: 5-15 minute drive
Powder Springs: 5-15 minute drive
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Outside-Perimeter cities with more to do:
Smyrna: 15-25 minute drive
Easy location if you want to bop into the ATL Perimeter. Home to the Braves stadium.
Marrieta: 15-30 minute drive
Has a charming city center with shops and restaurants.
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Inner Perimeter Areas:
West Side: 30-40 minutes
Small up and coming neighborhoods with local dives to explore.
Midtown/Virginia Highland: 40-50 minutes
The place to stay if you want to get a taste of all ATL has to offer - Home to Ponce City Market, the Beltline and really great bars and restaurants. Just be warned - traffic can be bad leaving this area, so plan your travel accordingly.