Moss Rock is the best outdoor bouldering in the immediate Birmingham area. There is a broad range of skill level opportunities mostly ranging between V4 and V8, but there are a few V1-3's and a couple V10+ climbs.
Moss Rock has abundant parking, and easy access to all climbing areas. There is no fee for use or facilities, however there are several small local restaurants and often times a food truck within walking distance of the parking lot.
There are two major bouldering areas as well as hiking trails and a large waterfall and creek area.
A map can be found here with problem ratings
The rock at Moss Rock is a wavy mix of Shades Sandstone and Mudstone which produces a great bouldering surface, with excellent grip, and isn't too bad on your hands.
Multiple sections of the moss and graffiti covered rocks are considered by most to be high ball problems, but even though there is one bolted wall, in my opinion is not worth the effort of roping up for a 40 foot 5.10 with so many sub 25 foot problems to send.