I have a €900 budget, I need a monitor, PC, and keyboard for that price. I'm from Ireland, so preferably parts from a site that ships to Ireland, I'm looking to play games like Minecraft, Cube World, CS:GO, TF2, Battlefield 3, etc.
You do not state whether you are in the north or the south of Ireland as this will make a big difference in delivery costs. Your €900 is equal t around £775 and looking at Chillblast, a very good PC company, they are charging around £42 for delivery to Northern Ireland, south will be a lot more expensive.
here is a couple to have a look at but with both I would change the wireless keyboard and mouse to a corded type which is better for gaming.