hi E.,
It's been a few years since we used them, but we were very happy with the home inspection done by an inspector from Brick Kickers www.brickkicker.com - lots of good info on their site too. Don't recall the name of our particular inspector, but all should be similarly qualified.
My experience has been that a realtor should not recommend a particular inspector, but rather provide you with a list and allow you to choose who you want. It is especially important if you are not buying a brand new home.
Our inspector spent a lot of time inspecting the home we were buying, went on the roof, in basement, attic etc. Some of the very detailed notes he put together were just helpful things for us to know (like be ready to replace window casements within 3 years, rake mulch away from foundation to prevent bugs etc.). Other things we asked the seller to fix before closing - like electrical wiring issues.
sorry no recommendations on movers, I'm sure someone else will know of some.
good luck!