Hello. Cindy here.
Those are two museums, not the same place. The hotel you stay is about on the half way between these two museums. The hote is not near the sirport shuttle bus. You can take a taxi to Civil Aviation building where the shuttle bus depart, within tarting price. I have no may of the locations, sorry. Henan provincial Museum (you can take Bus 42, 61, 69, 72, K39,not far away from Zhengzhou Zoo ) is in Nongye Lu, while the other (you can take Bus 47) is in Jinshui Donglu, in Zhengdong New Area.