How should I time my visa app as ill be traveling (& technically homeless) for months prior?

Aloha, we're moving out of Honolulu, shipping all our stuff to my folks in AZ in March. We're going to New Zealand for 3wks followed by 3+wks in Thailand, then over to PRC for 6wks. Turning out to be a logistical nightmare (to travel & move at the same time). If Chinese visas are only good for 3 months after app date, how can I apply within the timeframe & make this work? Your expertise is much appreciated! Mahalo