How do I choose a Home Inspector and Inspection?
I've recently been through this process, and here are a few things to look for.

Some home inspectors will use some more high tech equipment such as IR/Heat cameras and provide additional services like foundation level checking.  I saw some inspectors that offered free (short term) home warranty's with their inspection which can be a good added value.

Ask about additional services like Wood Destroying Insect inspection.  Some inspectors are licensed to do this work themselves, and some will have to call in a partner company to do that work.  Depending on the house and financing type this could either be a good idea, or a hard requirement.  If the home has a pool or detached building, these will be extra costs, and some inspectors may not be very good at pool inspection.  If this is a concern, find someone that claims to have experience with pools or whatever other unusual feature your home has.

I had an inspector say they couldn't inspect the roof because their ladder wouldn't reach...  They knew it was a two story house beforehand, so I was disappointed, but at that point I didn't really have any recourse or time to schedule another inspection.  Ask if they will be able to reach the roof or the attic or the crawlspace before you schedule them.

Finally, know that once you get your report, there will be quite a bit of stuff that they list based on their checklist that may not really be that important.  Know going into it that the report is going to be long and point out a lot of "technical" issues that may or may not be a big deal.  Their job is to point out all the small stuff, then you decide how much you care.  For instance, one inspector found a window that was a few inches too high based on todays code, but not the code when it was built.  I guess that's nice to know, but it really doesn't matter, and the whole "window" section of the report has a "deficient" mark on it for that one thing.