essentials - cot (travel cot with a proper matress added will do just as well)
some means to transport baby (any pushchair/buggy that says it's suitable from newborn will do, doesn't have to cost a fortune. Babywearing is also good when you're healed enough)
clothing (vests, sleepsuits, cardigans will suffice if you don't want to indulge in tiny shopping. Nothing at all wrong with second hand ones either, save a fortune!)
means of feeding - personally I intend to breast feed and pump for the daddy to help, so will be buying bottles/new teats for old bottles and already have a pump and steriliser
bedding - sleeping bags for night time, blankets to go over baby in pram/buggy, sheets.
the only thing I will stress about second hand is REALLY check for safety. check there aren't any worn bits which may compromise the safety of hte baby, no gaps for tiny fingers to be caught in etc.
Things you should ALWAYS get new if you can - car seat (even if you buy a second hand travel system, get a new car seat! you can't see damage to the microstructure but it could still be there), mattresses for cot and/or basket (apparently it's a cot-death risk), teats for bottles.