Overall, it is easy to do. With that said thou, it is in a slide out, so you MUST pay attention to how the floor is built, especially the thickness. From the picture a single leg looks as if it would work, but two legs will make it more stable. If it was me, I would unscrew the existing legs, and screw on the pedestal mount to the table, add the leg, and the base mount. Have someone hold the table in position while marking or screwing it in place.
If you want better access you could make the top slide and twist a little bit. We did this in an old TT which had two legs so it was easy and stable. We screwed a 1”x8”maybe 10” wide board to top pedistle a little longer than the span of the two legs. Then to the table top we added a couple of strips of wood on each side with a bit of gap to allow for movement. Then we added a piece of scrap flat stock metal maybe 11 gauge to capture the table in place. This allows the table to slide back and forth and a little twist to it. Then we added a piece of wood or some type of pegs (don’t recall) to limit the amount of travel the table could side in and out. Worked great! Here is a sketch of the idea.