Carpet Installation?

Carpet Installation?
Im moving n2 a room w/ concrete floor. I cant build up a frame on it, cant put down carpet glue cuz I dont want it 2b difficult to remove (even if u pull up the carpet, the glue would be stuck to ground), & the carpet tape I am seeing online is heat activated (but even that would probably leave a residue on the ground) and I dont have anything to heat it with. Obviously cant nail it because its concrete.
My question is: if I just lay down the carpet; would my furniture be enough to hold it down without it rolling up on edges in the places where the furniture isnt at?
I will be putting a baseboard on the bottom of my walls which will hold donw the carpet a lil bit, but is there any other alternative to holding down the carpet securely without doing something that would leave something behind on the floor?
Should I put padding down underneath? My roommate n next room has a area rug down and its not to cold n there. If I use area rug, id still ahve to cut it & its more $$
Samm:: Wouldnt that make my carpet stick up around the edge and make it so I couldnt put anything on the inch of floor closest to the wall? Also, wouldnt I be able to feel through the carpet the little pokey things stabbing my feet if I didnt use padding? This is another option though that no one has suggested, and I would use it if it werent going to raise the edge of the carpet off the ground...I'll be living in a 9x11 minus a 2x3 space in the corner and every little inch counts. On my concrete walls I put up 1x1 strips of wood so I could screw in my sheetrock.

My budget is incredibly low, btw.

Oh, and Im anti-berber carpet--this is for a bedroom and want ppl to beable to sit on the floor since I dont have enough room for chairs. Wish they had that stuff in something other then berber, darn.