At it's most basic, two 5-litre spring water bottles, a balloon, a syphon tube, 5 litres of apple juice and some yeast (I use a full teaspoon of Young's super Wine yeast compound - £2 a tub from Wilkinsons).
Better results will be got from using a glass demijohn and airlock instead of the water bottle and balloon, but the process is much the same.
As you are a little short on time, I'm not going to suggest a full matured turbo cider with Malic Acid and Tannin, and am just going for a standard TC.
Basically, clean and sanitise the bottle/demijohn (search the forum for details), add 4 out of the 5 litres of juice, add the yeast and shake the bottle/demijohn gently to distribute the yeast. If using the cheap equipment, put two pin holes in the balloon and stretch over the lid of the water and secure using rubber bands. The CO2 produced by the yeast stretches the balloon, opening up the pinhole and letting out the gas before deflating and re-sealing.
Keep it somewhere around 20 degrees C. Might be an idea to put it in an old washing up bowl, in case it goes a bit volcanic...
After about 4 days, top up with the other carton of juice, re-fit the airlock / balloon and leave somewhere 20C-ish. At this stage, there is again the risk of volcanicity, so don't put it on the best carpet...
Once the bubbles subside (or the balloon deflates) - normally after about two weeks - use the syphon tube to transfer it to the other container (again, cleaned and sanitised) to get it off the "trub" (the spent yeast) and leave it alone for another two weeks.
At this point, you can bottle it - either in clean & sanitised (noticing a pattern here?) pressure PET bottles (500ml Coke or similar are fine) or glass bottles with caps (where you will need a crown capper tool). Add about half a flat teaspoon of normal sugar to each bottle before syphoning the cider onto it - this will be eaten by the yeast and make the cider fizzy.
Leave it for another 2 weeks somewhere warm, and you should have a reasonable cider for not a lot of cash.