Start with a single 1000 w HPS and a 4' 8 bulb T5. Veg under the T5 and then switch to the HPS for flower. That should cost you around 700 or 800. If you want ducting and an inline fan it will be at least 200 more. You will also want to pick up some b/w poly to block out windows and an oscillating fan. Spend the rest on good quality seed, soil and nutes. Expect to spend around 70 - 80 dollars more a month for electric. You will also want to get some cloning gel, heat mat and humidity dome. It will be tough for 1200$ but this setup will allow you to perpetual grow and you should make your money back and then some after first harvest.
1000w ballast 200$ x4 = 800
1000w bulb 65$ x4 = 260
cool tubes 100$ x4 = 400
You are already over budget and you dont have seed, soil, nutes, or ducting.