What to know, what to see
If you pay someone to open a choke, try to discover what type of tools are used for the work. I advise to run away from any shop that uses an adjustable sizing reamer that is inserted into the muzzle. That arrangement has created more crooked choke openings than straight since starting in thin air has no alignment basis.
The shop should be able to measure the choke amount accurately in front of you to show the amount existing, and then show the amount remaining after opening the choke.
There should have been some discussion about the pattern that you had and desired to have after the work. Asking for test patterns in any future dealing may cost more than just opening a choke, but will provide an immediate verification (or lack) at once.
The pictures show some of the special tools for measuring chokes and barrels.
There are 2 bore comparison dial gauges, not the most accurate for determining exact size, but useful for comparison, but lacking in reach, the one being 2.2", the other 3.3".
The bore micrometers shown reach 2.5" and over 8" and are very accurate for size determination.
The dial bore gauge with the multiple interchangeable heads also has setting rings to allow for precision size readings via calibration of each head to the corresponding ring. The bore mikes are the most accurate of the bunch.
The extra long gauges are for severe duty use, such as barrel manufacture, where they originated. The skinny one can reach over 30" in a .410 with the extension rods. The long one at an angle can fit an 8 gauge and larger bore. These gauges can fall off a bench and probably still go back to work.
That pile of tools in both pictures is over $5000, but I can get inexpensive versions of the dial comparitors for under a hundred bucks. They are just right to put in a shirt pocket when going to a gun show, etc. Better safe than surprised.
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trained gunsmith, custom choke installer