I don't have a proper dresser, but I keep tights, socks, undies, bras, etc. in a cheap plastic set of drawers in the closet. Everything else I hang, except for pajamas and my grubby clothes, which are in a plastic crate under the bed.
I used to fold my jeans and sweaters but I could never keep the piles straight, even with shelf dividers, and I would inevitably want something on the bottom of the stack and end up pulling everything out and not putting it back.