I work at a Part 145 repair station overhauling components. As an A&P I'd think you would rarely need to precisely measure any kind of bore, it should hit a time or cycle limit, or demonstrate wear or corrosion or I guess fail in service for you to pull it and send it somewhere to get fixed. I'd be afraid if you are working at any kind of air carrier and they want you to do that they'd be setting you up for an eventual run-in with the FAA, leave this stuff to the professionals who will send you a bill and a fresh 8130.
Anyplace that needs this sort of measurement done already owns the right tools. I do know a popular General Aviation engine overhaul shop uses telescopes to measure bores but I'd bet there's a few thousandths tolerance there, Lycomings aren't the tightest engines on the planet.
But if you think you need precision measuring tools you will never regret buying Mitutoyo. If it's digital then buy it new because they upgrade the internal parts pretty regularly and you don't want to be stuck with something so old they won't fix it. Buy good micrometers first because you will use them more and if you really need a bore gage you can buy a ****** Peacock or SPI one if you need to save money because they are only measuring relative to the standard you use.
If you use them a lot keep an eye on the contact points, both the button and the extensions because they can wear out and develop flat spots which will gradually throw off your measurements. And if you're just being gung-ho I'd make sure whoever follows your work, either another mechanic or a QC guy isn't going to flip **** if the contact points on the bore gage leave lines on the surface, it happens especially in anodized aluminum cylinders (low pressure ones like they use to open CFM56 cowlings) since the gage tips are chromed balls or tungsten carbide, and even in hard chrome bores. You won't be able to measure the marks from the gage but you'll see them and they can be a PITA to polish out.
Also, don't buy Sunnen gages, the dials are rebranded Mitutoyo but the funky screw adjust tips on the end are frustrating to use.