Birmingham Zoo
A membership for me would be $50, for me + one it would be $80. A one-day ticket would be $14, so I think the membership might be worth it.
At Red Mountain park there are the 11-mile trail system and the three historic mining sites
Open 7 days a week, 7am-7pm; entrance is free
Dogs on a leash are welcome, with a dog park coming soon
From I-65, take Lakeshore Parkway to exit 236; go 3 miles west
http://www.redmountainpark.org/
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Oak Mountain State Park
Cahaba Lilly Park
Just north of Helena off County Road 52
Vulcan Park
Moss Rock Preserve
Pepper Place
Market Days in Helena
Railroad Park
Carry Me Home 