What to do when I arrive at Guangzhou Baiyun Airport just past midnight? Will there be public buses?

My flight will only arrive at GZ Baiyun Airport at about 1am and I need to catch a train the next day at GZ North Railway Station. I need some advice on the cheapest and safe way to put up for the night. I wonder if there will still be buses that could take me to the vicinity near GZ North Railway Station so that I could put up in a guesthouse there. Or could I sleep in the airport until the first bus operates in the morning? I have a budget and would not be able to put up at the expensive airport hotel. Thank you for any advice you can offer.