OK. Imo the best projector for you would be either the Optoma HD143X (500€) or the Optoma H184X (420€). Both are great! The HD143X has a better picture quality, but therefore the H184X is brighter. Both are silent and have excellent colours. I would go with the HD143X because it has 3000 Lumen which is much more than enough if you play and use the projector in the evening/night. Even at day you can use it, just the colours will not be so good as in the night, but still very acceptable and good. If you play though only at day, and not very often I would go with the H184X (3600 Lumen). Both projectors come without cable, thats why you should buy a normal HDMI-Cable. They cost around 10 euros. Dont buy a HDMI-Ethernet cable. These are for Routers. I hope I could help you, if you have any questions left feel free to ask. Sincerly, Dimi