The so named red/black Chinese lasers are ideal, 60 or 80w is all you really need, standard bed size with these is 500x700 (20"x28") but there are larger versions as well.
Dont buy a 20"x12" or 24"x12" size machine you will regret you didnt go bigger.
60w is perfect for most people and will cut 1/4 birch ply no problem plus all the other usual C02 laser materials mdf, acrylic etc. I can cut 10mm perspex (acrylic) on my 60w
people forget carbon is effectively steel and really needs a fibre laser to cut it or CNC router, when buying plywood you just buy laser suitable plywood which has the correct glue so you get a nice brown cut.
Lots of good laser cutting/engraving groups on facebook, ask questions or send me a PM as using my red/black 60w for 5yrs now for my hobby use and laser business