Application submitted in early July, was in DFW about 2 weeks later for the background check/fingerprinting. Got a call with my Orientation date about 1 week later, was in DFW at the end of August for Orientation where I was assigned the mid-September class.
All told, about 2 months from start to finish but YMMV as I'm coming in with prior 121 time. Hope that helps at least a little.