Useful advice, thank you for that as I know my Actron scan tool won't touch the ABS side of things.
I was thinking of using the opportunity while everything is apart to completely replace the brake fluid as the stuff in there has been in for years. I will make sure I do not let the master cylinder run dry. I will of course have to bleed the new fluid through to the front brakes too but that shouldn't pose a problem. I am actually looking forward to seeing how much better the brakes will be as they haven't been too good for a long time. I surely must notice a difference in gas mileage too without the rear brakes being partially applied all the time?
Man - this is a such great forum, don't know what I would do without it, the Blazers sold in such tiny numbers here in the UK that local help is hard to come by, parts are also very scarce but Ebay + a couple of good American vehicle specialists are a great help there. Can't understand why they weren't more popular, the Jeep Cherokee sells in huge numbers over here (then again they also come with a diesel engine option which is crucial here) but personally I prefer GM stuff every time! Guess it's just a matter of personal choice?

 

You can gravity bleed each wheel, one at a time, until the fluid comes out clear. It will take probably 10 or 15 minutes at each wheel, (don't let the master run dry) but it beats having to find someone that can do the automated bleed. When you're done gravity bleeding, have an assistant hold pressure on the pedal while you barely open each bleeder to expel any air that might be in the caliper. Probably only take one, maybe two times, at each bleeder. Works like a charm every time

 

Well have just ordered a pair or rear dust shields, axle oil seals, rotors, calipers (including brackets & copper seals), pads, parking brake shoes, brake fluid & limited slip differential oil. Should be here in a coupe of days. Hopefully everything should go to plan & my rear brake problems will be over for a while?

 

Just be sure to grease the caliper pins and metal shims the calipers slide on, bleed each wheel like captainhook said and you should be good to go. It sounds like you know what you're doing, just set aside plenty of time so you're not rushed and have fun!