Plastic cutting laser module, how to choose?

Question

lasers

Tell me, which laser module is suitable for cutting plastic 1-2mm thick, black? What wavelength to choose? How much power will be enough? I would also like to be able to cut plywood, up to 3-4 mm. It would be better if the laser was in the visible spectrum, so, IMHO, it's safer, at least you can see what's going on.
Also from the wishes, ease of operation. I know little about lasers in theory, I obviously can’t cope with gas.
Still interested in the same question, but with respect to plexiglass. It is transparent, how and with what is it cut?
I'm going to order from ali or ebay. I wanted to meet up to 6 thousand rubles, but as I understand it, this is not realistic.
Who has experience in this matter?
PS You also need to choose protective equipment for the laser. Rather, for me, from a laser.