Christina:
Bathing baby.. sponge bath until the cord dries up and falls off. After that tub baths (or even take the lil one in with you in the shower) every few days. They don't need daily baths, it just dries out the delicate skin. The plastic tubs are a matter of personal choice, you can just as easily bathe in the kitchen/ bath sink.. or carefully in the shower -- they get very slippery.
Cribs are standard sized and any brand of crib sheets/ mattress cover / bumpers should fit.
Unless it's something unique like those round beds or if things are different in your neck of the woods??