4 foot square or
2ft x 2 ft, I would go with a 250w HPS, 4 inch vortex style fan(I use Sunleaves brand and love em), and if you can manage it, a vented hood or cool tube type setup.
If not a batwing style reflector is perfectly OKAY. There are place that you CAN go cheap, however...there is an old saying, "you get what you put into it." That also rings true with growing great marijuana.Nobody that is growing with CFL"S in a shoebox or cardboard box, or whatever will EVER be happy with their setup.
You have the space for an HID. Get a 250w HPS.
make sure that your closet(I'm assuming here), has proper intake openings as you should be using a passive intake in that small of space.Meaning no fan sucking in air from outside.
Here are some other thoughts.
If you are using a closet, seal the door with weatherstripping, and screw a door stop into the bottom of the door frame and weatherstrip that as well to ensure a tight seal.
Make sure you have some type of oscillating fan and a PROPER exhaust fan to ensure negative pressure and air movement in the room. This will keep your humidity, and temperature under control.
Hope this helps. Don't cheap out and you will grow enough KB in that space to keep you happy. Try to find a bigger clone space if you can, if you can't work with what you have. A couple of 42w cfl's in there would provide enough light to keep seedlings from stretching too hard and be soft enough to promote healthy rooting of clones.
Happy growing.