Replacement of cup that holds bearings on huffy beach cruiser
You're looking for a headset. These come in two forms, threaded and threadless, based on whether your fork has a threaded steering tube. Both are available for all budgets.

Headsets come in a couple of sizes, so use a pair of vernier calipers to measure the size you want. Park Tool has a howto on servicing a threaded headset, however assuming you don't have the right tools:


you can remove the old headset using a long flathead screwdriver and a hammer (both the cups and the crown race);
It's best to install the new headset with a headset press, however, you can gently tap the cups in with a dead drop hammer and a piece of wood, but pay attention to the alignment of the cups, they must be aligned else you'll get weird steering effects.
Similarly you can install a new crown race using an old seat tube (etc.) larger than the steerer (but not so large it will damage the race). Again alignment is important.


Make sure everything is installed in the right way. It's an easy part to accidentally install upside down because you've had one too many beers. If your steering feels funny or wonky or is binding up, there's a good chance you've installed a part in backwards.