easiest way to tear down and move a slate pool table?

Answer 1

From a website about pool tables:

How hard is it to move a pool table?

Depending on the manufacture and style of the pool table, can be difficult or damage the table, if attempted by the homeowner. To properly move a pool table, it should be disassembled, moved, assembled and re-leveled. When a pool table is installed it is made level to earth and each piece of slate is registered to its mate. If a pool table is moved without realignment, it will loose accurate playability and in some cases it will be damaged. The pool table is designed to support its weight and be stationary. Therefore only an experienced pool table technician should move and realign the table.

And from another:

Moving and Installation

Taking the table apart to move it is not technically difficult. Be aware that there are three pieces of slate, each weighing over 150 pounds, and you must be very careful when carrying it. Even if only one piece breaks, all 3 will probably have to be replaced due to mismatching - a very expensive proposition. Carrying slate is also awkward, especially when stairs are involved - it is very easy to hurt your back when carrying a heavy and awkward item that does not provide anything to grip onto.

Reassembling the table is far more complex than taking it apart. Proper leveling and cloth installation is of paramount importance. The table is only as good as the installation. Be careful when re-stretching the bed cloth - it is easy to have the cloth tear when it is being stretched. The older the cloth, the more likely it is to rip apart. Using qualified billiard table mechanics makes quite a bit more sense. Not only can you save yourself possible injury, you will also end up with a properly installed pool table.

The cost of moving a pool table will depend on several factors - distance of the move, size of the table, etc. Be prepared to spend upwards of $600 when you include new cloth and all taxes.