1. Turn the supply off from the header tank (between the tank and the radiators).
2. Turn all the valves on your upstairs radiators off. Count the turns on your check valves so you can re-open them correctly when finished.
3. Place a bowl / bucket under the pipe to cut and go through it with a pipe slice. When the pipe slice starts to cut through, water will start exiting under pressure (initially), so have a towl ready to cover the pipe slice so you can channel the water into the bucket.
After 10 mins or so, the pressure will drop as the top part of your system drains down. Go through the rest of the pipe with the slice and let the rest of the water out into the bucket.
I used to use the downstairs drain cock, but getting all the water out from the upstairs piping without drainign the whole system is a real pain. You have to open all the bleed valves on your upstairs & downstairs radiators to let the air get in. Remember, the more water you get rid of, the more you have to replace, and the more rust inhibitor you have to add to keep te solution at the right strength.
By closing all you upstairs rads, you keep the water in them. When you go through the pipe, the only water that comes out is what's left in the upstairs piping.
This is all I ever do now when working on the ff system.