I would get a sturdy table, not one on wheels. i do have the joann's table but use it to baste on. some use it for a cutting table though.
my hubby made me a cutting table out of a nine foot solid wood door his old office was throwing away. he built it into the corner of my sewing room permanently.

I use an old drafting table. It is heavy but very sturdy and the right height for me.

I use a table that folds in half (I either bought at Walmart or Staples). My dh made extensions for the legs on his metal lathe. It is really sturdy.

I also have a JoAnn's cutting table. I usually only need one side open, so I open the side away from me. That way I have my cutting mat across the base. It's much more stable.

I have one from JoAnn's too and I just love it. I only use half of it because of room and it seems pretty stable and can fold it out when I want to have the extra lleafs.

I have had the Joanne's cutting table for years. I think it's great. You can easily roll it from room to room if you need to relocate it. If you only need to cut smaller items you only need to raise one leaf.

I got a 30"x72" table then risers and a 36"x8' sheet of plywood. Works great and was not expensive.
or get two saw horses with door on top. Lots of options that are not expensive.

Put any table up on bed risers...

My husband created one like has been one like has been suggested only we used matching sets of double drawers that were the right height. He attached a narrow edge to the top front. Then took 3/4 inch 4' sheet of plywood and created a top. We separated the sets of drawers so the 4' would fit across them and the narrow edge kept them in place. He put a piano hinge the full 4' width and added an additional 3x4' leaf that can be lifted up and held with a brace he made. Believe me this doesn't move when cutting. And you can cut almost anything with 4 x 6' space. I have the space to leave it up all the time if the leaf is down.

I have the JoAnne's cutting table and it works very well for me. I haven't noticed any wobbly-ness. It is certaily better than the floor and it folds down nicely.