I just realized that there aren't too much information about Shanxi and Taiyuan for travellers, even on Tripadvisor, the information and reviews are limited which makes travelers to prepare for their upcoming trip. I'm currently in the U.S but spent most of my time in Taiyuan before college, and I'm also going back to Taiyuan every summer. I would like to try my best to answer any questions you have regards on Shanxi, Taiyuan in particular since I grew up there. My knowledge and understanding on the transportation, taxi fare should be enough for your trip preparation. Besides that, I'm also a frequently flyer, let me know if you have trouble with plane schedule and ticket, I'm definitely familiar with all routes that Taiyuan airport connect with elsewhere in the world.
I'm be there this upcoming August after my family trip in Thailand. Hope to see you there