Native English speakers, coulld you please help me with these issues?

1. Is it correct to say: "to lay the table" when you mean to prepare a table for a meal (such by placing the dishes, the eating utensils and the napkins on the table)? 2. And what verb would you use to the opposite action a the end of the meal (or by removing all the dishes, etc...)? Could it be 'to remove the table'? (I doesn't seem like so...)

jack of all trades

Lay the table is correct, but set the table is more common and the snootiest couldn't find fault with your using it. At the end of the meal, you clear the table.