if you turn your router upside down you'll see that the surface that touches the wood is removeable. this is called the sub-base. what you're gonna do is unscrew the sub-base and replace it with another one a little thicker and a good 6 or 8 inches longer and wider. (make it a couple of inches larger than the overall footprint of the tool)
this plate in turn will be let into the surface of the router table so that the "top" of it (what was the bottom before you turned it upside down) is flush with the top of the router table.
now to change bits, make fiddly adjustments, etc you lift the router and plate right out of the table.