In my opinion that is not possible. 2000 EUR is not enough for such large machine. Also, defining what is "best" is not possible. Best seller is not always the best. What I think is the best is to start with something smaller so you get the idea and understand the problems. Making a mistake in such large machine might be expensive.
My CNC is my own design, it is a moving table, fixed gantry type. I think that is easiest and gives best accuracy and is fairly easy to make. I can't really recommend anything since I don't have experience in any readily made design, or any working drawing. I think you have to start with a design on your own, considering what you want to do with it and so on. Price depends a lot on the quality you want in the end. My CNC has a work area of about 400x300 mm, so it is considerably smaller, yet it cost me more than 2000€ already, even if I disregard parts which I had to remake because of a mistake or because of the upgrade I am doing now. I buy parts from all over the world, including locally in my village. A lot of what I buy comes from Europe, so the cost may not be optimized, but I believe the quality is very good, so I am ready to pay the extra.
I think a lot of the work must be done by you, on your own, through searching this site and other CNC sites, for example this site:
DIY Router Build Logs
Have a look around and make up a plan to work after. It is very difficult to give exact direction, and honest, I won't do that because it comes with certain responsibility if I would do so. It may sound harsh but I think you have to do your own home work. The only thing I can say that regardless of where you get your material, 2000€ is a bit low for such large machine, but I may be wrong.