A new cylinder is not too expensive, but it's best to get a new brakepipe at the same time as there is a good chance the old one will be damaged on dismantling.
Procedure is relatively easy if you have a bit of experience or someone knowledgable nearby to assist:
Jack the car and make sure it is safely supported and remove rear wheel.
Handbrake cable connects to a lever behind the brake back plate. Remove the split pin that holds the handbrake link pin. Remove link pin and move the cable away.
Remove the countersunk screw that holds the drum on (if it is fitted). The drum will be tight as the brakes are now stuck on! A bit of hammer work may help free it up a bit... you'll need to rotate it to find the brake adjuster. The drum has an access hole via which you need to undo the manual adjuster. This is located on the bottom end of the wheel cylinder, so turn the drum until the hole is roughly in line with the bottom of the wheel cylinder and using a torch or decent light have a look for it through the hole - it has a slot and can be turned with a screwdriver.
Once the shoes are de-adjusted everything should be free and you can pull the drum off (maybe using a bit more hammer work but not always)
With the drum off you will see the brake shoes and inside of the drum - both should be looked at for wear and replaced with new if needed (and the other side to match!).
Lever the brake shoe away from the cylinder and remove the adjuster. Then lever the shoes and move away from the backplate so they come off their seats and release the springs.
Then they can be taken off completely.
Next disconnect brake pipe. Once the brake pipe is disconnected (cut off if required) you can unscrew the banjo from the back of the cylinder.
When that is all removed the cylinder can be slid on the back plate to the end of the slot and removed completely.
Re-assembly is a reverse of dissassembly, but more care is needed!
1) the cylinder does not bleed well so ideally should be filled with fluid before fitting.
2) the cylinder should slide on the backplate easily so cleaning and greasing may be required (using brake grease or a small amount of copper grease)
3) when refitting the shoes, the springs need to be in correct position so make a note (photo or sketch) of where they were before they came off!
4) when fitting the rear banjo, new copper washers should be used.
5) the bleed screw needs to be at the top - best to check that it is ok before bleeding and replace if it is rusty on the cone.
6) re-align the shoes so they fit neatly to the drum otherwise adjusting takes longer.
7) refit brake pipe and bleed brakes - getting a good pedal may take a few attempts. When you get some pedal (ie it stops before the floor) then adjust the brake shoes until the drum just still rotates by hand.

now you should have a reasonable pedal, so make a few hard stops forwards and backwards to fine tune the shoe alignment - then re-adjust the brakes if needed.
9) re-bleed after a small amount of driving if you are not happy with the brake pedal feel.
10) make sure the brake pipe is properly clipped to the axle (otherwise you will eventually get a broken pipe and complete brake failure!!)
11) re-fit handbrake cable after all adjusting and bleeding is done, making sure that it does not pull the lever (adjust cable if needed) until you pull the hand brake.
one thing I forgot - make sure you fit a new ruubber boot on the new cylinder otherwise it will fail again quite quickly.
If it all sounds too severe - it should take less tha an hour in experienced hands so pay someone to fit your new bits (but make sure you get all the bits needed)