there are three ways to do this
1 - pressure flush
2 - pump pedal
3 - vacuum flush.
pressure flush requires a garden spray tank and some creativity with pipe nipples, pipes, clamps and a spare brake reservoir cap and a drill, Fluid is forced through the system.
pump pedal is the cheapest but requires 2 people - one to pump the pedal one to collect old fluid. Be very very very careful with such procedure - the pedal must not go below the normal travel point if the master cylinder is old and the fluid has not been flushed - use a small brick to limit movement.
vacuum - requires a vacuum pump to suck brake fluid through the wheel cylinders - expensive.
For brake greasing - you need silicone grease on the caliper pins and antisieze paste on the backs of the pads. If you have used regular petroleum grease on the caliper slide pins then you have ruined the little boots and the O rings around those pins. Remove all old grease, replace the rubber items and re-install with correct silicone grease. Regular MP grease cannot withstand brake caliper temperature.
You can use brake caliper grease too which is super high temperature. Be sure to use the antisieze on the pads and make sure you have the antirattle clips in place.
I never recommend tooling of discs unless you have ultra deep grooves in them - also remember that excessive grinding will lead to thinning of the disc which has disastrous results - Always check the thickness and inspect the disc for corrossion wear too, if its cracking or flaking off - replace immediately.
Brake jobs are the most important factor in a vehicle - sadly I see that mechanics love to throw away the little hardware that is attached to them and also love to use the cheap grease they have which will never work on a brake environment.