Get new calipers, not worth p1ssing about rebuilding with shagged ones in my experience. It's not really a 'rebuild', rather a band aid attempting to drag them out for a bit longer.
Get a pair, because we all know it, once you've done one side, the other side will go soon after.
It's a w@nky design of caliper and is an 'every 5 year' job it seems. For regularly used cars that see winter road salt at least.
If you're on a budget, get a pair of aftermarket unpainted TRW units and just sprinkle on some paint yourself. OEM calipers are eye watering, but they are just the same TRWs painted red for you.
Pay attention to the carriers. Grease up the sliding pins but if they are rusty and dry, it's too late, the damage has been done, replace the carriers as well.