I'm not going to go into much detail in this section. Refinishing is a broad subject and there are a lot of resources out there covering it. A pool table is no different from any other piece of high abuse furniture.
Basically, the method I used was a combination of hand and air staining with oil, and then coating with a water based poly. Some people say water poly over oil is a no-no, but they work fine. If you are brushing poly on I find it is much better as the act of brushing along with oil based finishes can smear or lift your stain. Plus the cold weather was coming and I didn't have time to do what I needed to do with oil.