I shoot IDPA at Steel City in Hoover on the Second Saturday morning of each month.
http://www.pistolpro.com/ssidpa/Index.shtml
They also have a "Practical" match with their own local procedures and rules on the Fourth Saturday.
http://www.scssa.org/Practical%20Handgun.htm
You can get into IPSC/USPSA at the FOP Range in Pleasant Grove.
http://www.foprangeinc.com/
Heritage shoots both, and 3-Gun, too.
http://hrpclub.org/
All will make you welcome and see that you have a safe enjoyable time.
Most of these outfits will let you shoot in your duty gear.