“we usually went either to Pep Boys or Jiffy Lube”
Jiffy Lube is one of the worst places to get your car serviced.
Chain shops in general are suspect.
Expect ~20 other people to chime in and say the same thing.
“changing the fluid at this time with 113,000 miles on it, isn’t that a bit risky?”
It’s a myth that fresh fluid can damage a transmission. The damage was already done.
Don’t get a flush. Just get the pan dropped, filter changed and refilled with Ford fluid.
Again, expect many more posts elaborating on this point.
AAMCO = All Automatics Must Come Out.
If you go to cars.com and click on “find a mechanic” you can maybe find an independent shop with good reviews.