If the hosel is broken, it's probably not worth fixing. If the shaft has broken, leaving you with a clubhead with a little bit of shaft down in the hosel, it's not a big deal to re-shaft it. A local Golf shop can do it, or you can use it as your excuse to explore the wonderful world of clubmaking. Best case there's enough of the broken shaft sticking out so that you can grab it with vise-grips. Heat the hosel with a propane torch until the epoxy bond fails, then twist the broken piece out. If not, you can use a shaft extractor, which is like a screw extractor (a.k.a. an easy-out to get a grip on the shaft, then heat it with a torch as before. Either way, once you get the hosel cleaned out, re-shaft as usual.
You can most definitely drill the excess shaft that is broken off in the hosel if that is the case, then if you want, you CAN make an even cut across the old shaft, as low as possible, and use that shaft to reshaft, but that will result in a club up to 2 inches shorter. Regardless, if you do reshaft, find the strongest epoxy you can, because I have been reshafting clubs for a good while and I have given up on the cheap stuff, it just doesn't cut it. (Especially on irons)
Your local pro can and will repair the club if it is worth repairing, but don't bother if it's not worth more than $50-$100.
You can reshaft yourself by drilling out the old piece of shaft left in the head or heat the shaft/head up to break the old glue bond and pull. Find a local place that sells heads, shafts, etc of try www.golfsmith.com. They have a wealth of information.
If this is gluing the shaft into the head, epoxy is best.
Most golf clubs offer golf repair services as well as stores such as Golf Galaxy, Golf Headquarters. etc.
Toe is the front part of the head of the golf club.
The Club Face
Hosel is the the socket (or neck) in the head of a golf club into which the shaft is inserted.
The main purpose of golf club head covers is to protect the golf club. Head covers are available in many designs and themes to suit every golfer's need.
The Hosel (one 's') is the socket or neck in the head of a golf club into which the shaft is inserted.
Hitting the head against the ground, throwing the club, or backing over it with a golf cart are all ways you can break a shaft...but hitting the ground with the head on your swing is the most popular way.
One can buy golf club head covers from many retail outlets. Any department store selling golf clubs and other equipment will also carry club head covers. Speciaist golf shops such as Golfsmith stock them in all sorts of shapes and materials.