If you plan on doing this yourself, a great help would be having an experienced friend over to teach you. This could turn into a long learning experience for you.
If your old master cyl is clogged, which you are only going to be able to determine by removing it, you can either rebuild it, or buy a remaned one. cost is about $52 for a reman from O'Reilly, NAPA, etc.
If you don't already have the Hayne's repair manual for the car, get one. Verify if you have ABS or not, it will matter. A reman or rebuilt brake cyl will need to be 'bench bled' to ensure all the air is out. You can do this with it installed in the car but it's much easier to set it up on a work bench, clamped into a vice.
After that you need to bleed each wheel. Farthest from Master to closest. Rear right, rear left, front right, front left.
Tools and stuff you might need:
- 10mm flare nut wrench (master cyl bleeders)
- 10mm box end wrench
- 8mm or 5/16 (i think) closed end wrench for the bleeders at each corner
- clear tubing and a one man brake bleeder
- long bar to hold down the brake pedal (i used a length of plastic vacuum cleaner tubing, moved the seat forward and depressed the brake with it 3/4)
- lots of brake fluid (1 or 2 quarts)
- new or rebuilt master cyl
- 2 speed bleeders for the master (possibly 7/16ths thread, mine was on my 95)
The technique on how to bleed the system starts with the master if it's run dry. Can be done on a bench or in the car.
- install the 2 speed bleeders
- run hose from each into the master fill area
- secure hoses to master so they don't spray fluid all over
- get in car, pump brake until no more bubble come out of lines
- don't go nutty, long even pumps with a pause holding it down in between
- if on a bench you use a screw driver or a rod to push the cyl and force air out (dont push to fast or you'll have a fluid volcano)
- reinstall the 2 lines back onto master (a little fluid will run out, don't worry)
- begin corner bleeding or install master back on car if you were benched
Now is a good time to replace pads, shoes, and have rotors/drums machined and checked for run out. Last thing you want is the shaky shakes after all this work.
Bleeding each corner:
- Begin at right rear corner, further from the master.
- Use closed end of wrench, slip over the bleeder
- Push clear hose over bleeder
- Set bottle to catch fluid somewhere (preferably higher than the bleeder)
- make sure there is some fluid in bottom of container (you don't want the hose sucking air back into the line)
- install brake hold down and push to 3/4
- go back and crack the bleeder open
- wait for the bubbles to stop
- close bleeder
- rinse and repeat till no more air is leaving the line
- left rear, rinse and repeat per above
- front right, rinse and repeat per above
- front left, rinse and repeat per above
Each time you do this, the pedal will get firmer and firmer. Eventually your goal is to have a rock hard brake pedal after a few pumps. You do all of this with the car OFF by the way.
All said and done you will learn a lot and possibly spend just as much as if you took it somewhere. It all depends how much you screw up and how much brake fluid you go through. Shops tend to have vacuum bleeders which make the job quick and painless. You might end up paying $80 for a brake flush and fill though.
It's entirely possibly I've forgotten some things but the internet is a vast wasteland of YouTube videos and half written how-to's for you to sort through. Also keep in mind this is for a vehicle without ABS, you might have more steps.
Good luck.