Tranny repair shop recommendation needed - Phoenix area

Remove the valve body; ten bolts, easy peasy, remove the front band adjuster completely and the band strut will fall out. Then spray WD40 around the pump where it contacts the case. Remove the 6 pump bolts. Gently pry between the lugs of the drums to push out the pump. Sometimes you have to tap the pump back in a few times. But spray more WD40 around the pump before you tap it back in. You can use two bellhousing bolts screwed into the pump(2 of the pump bolt holes are threaded). Pry against the head of the bolts with a large channel locks top. If that doesn't work, remove the starter stud, stand the trans up on its bell housing on concrete; lift it 6" high and drop it onto the concrete for the pump and front drums to fall out. Sometimes 3" works. Oh, and that's INCHES not FEET.
I'm not sure I'm on the pride the pump out bandwagon... After the valve body is taken off is there any reason you can't stick a screwdriver back behind it and give it a whack and kick it out?...
As I was watching this one video of this Hispanic cat rebuilding one he did this little maneuver as he shouted out how we were all rookies and how he was a pro and I had to replay the seen at least a half a dozen times to catch this little clip of where kind of almost unseen he pushed it out from behind. That was something that bewildered me as I tried to use those threaded holes on the front to use kind of a puller to pull it out...
The second time I did it plip!.. 1 whack and out it came LOL...