Billiards table may not be as common as dining tables and such. Just like grand pianos, these types of tables are found here in there in houses all over the US. Moving billiards tables can be a real pain in the neck as disassembling and assembling it is not that easy.This is why there are important things to be done in order to properly move a moving table.
First thing that needs to be done would be to pull the staples out of the pocket straps. Make it a point to find the right pocket. Remember that an average table have 3 bolts for every rail. The rails should be able to pop out properly so that when you pull them off, it just slides easily.
There are billiards table with ball return table system. These types of tables are easy to remove as there are less bolts and screws to deal with. After removing the bolts, the felt cover is another thing that needs to come off. Some of these felt are stapled or glued. Be careful if its glued as you do not want to damage it while removing it.