Most router tables have holes predrilled in the top for mounting the router. Remove the clear plastic base from your router (put the screws carefully aside) andcentre it on the hole in the centre of the table. Now rotate the base until the holes in the base match with holes in the table. These are the holes you will use to attach the router to the table.
Your table probably came with a set of mounting screws. Pick the ones that fit the holes in your router, and drop them into the holes you are going to use to mount your router to the table. Now line up your router so you can screw into one of the holes in the router and turn the screw in a couple of turns. Do the same with the other screws, and then tighten the whole thing up. Depending on your router, you may have to take the router off to change bits, or you may be able to change from above the table.
I am using a Mastercraft (Canadian Tire) router on a Ryobi table, and it works fine. You have to fiddle a bit, and swear a lot, but it's only awkward, not difficult.
I'm not slow, I'm pacing myself!
Isaiah 44:13 Another shapes wood, he extends a measuring line, he outlines it with red chalk. He works it with planes and outlines it with a compass...
Usual kit: Table saw, band saw, dual base router and table, lathe, various saws, planer, sanders, and a multitude of hand tools.