The first thing to remember here is if you are about to work on your calipers and may need to part the body halves, then before you unbolt them from the fork legs, CRACK (loosen) THE CALIPER HALF BOLTS, much easier than trying to undo the bolts once you have removed them from the bike.The next thing is the bleed nipples, if they wont budge with a short spanner, just leave them for now, once you have snapped them off, you have a nightmare job trying to reclaim the threads, so dont snap them!
I am with Piet on this one, definately so,sometimes they just are so corroded in, air will not shift them,nor will heat and any kind of twisting and gripping,I have also immersed in boiling water to great effect, but sometimes all of that fails, so I no longer bother with any of them, I keep a modified banjo coupling, with a grease nippple ready to use a side lever grease gun and pump the piston out, with the caliper on the bench, as soon as one piston moves about 5mm, I then block it, so that the other one can move, ,this method has never failed me, and for the clutch slave cylinder, which is harder due to its siting, inside the cover, I keep an angled nipple ready to screw straight into the hose conection, and again this has never failed me.
Not everyone has access to air or the grease method, and the best way without either of those is to use boiling water, split the caliper and drop the two halves in the water, for about 15 minutes, then remove (use tongs and gloves) pinch it up in your vice (to hold as though a asecond pair of hands) and use mechanical methods to twist (first) then lever out (second) plumbers adjustable pump grips will be best for twisting, and small pry bars the best for levering.
The next thing is the nipples, bung the caliper body back in the boiling water for another 10 minute stew, and then (tongs and gloves again) take the body quickly to you bench, and this time, pinch the nipple in the vice, now try to twist the caliper body, if it moves at all, then work it back words and forwards, no more than 30/40 degrees untill it feels safe enough to unscrew it completely.
If this method fails you, all is not lost,find someone locally who can help you with the grease gun method.I would do that if you are anywhere near North Kent UK
CLEM