There are places like Polo Forest, Thol Bird Sanctuary, etc are in Vicinity of Ahmedabad and if you would like to go some extra miles then there are options according to your interest like for Archealogy and History you have Lothal, Laxmi Vilas Palace Vadodara, Champaner Heritage Complex at Pavagadh, Little Rann of Kutch at Dasada Village, Jessore Sloth Bear Sanctuary near Banaskantha, etc are good places to Visit.