To maximize your mining potential higher model or the latest model in graphic cards is the best way to start with. You can build one from scratch but if you are planning to use out modeled graphic cards, you might be ending with a higher electricity costs yet less in bitcoin mine. Search one in the internet what is the latest graphics cards you can use to mine with...
The OP said BITCOIN miner not Piece Of Shi* altcoin miner.
As Sidehack and far too many others have had to repeat here over and over GPU's will not work for mining Bitcoin. Period. End of story.