It's usual for a house to have one header tank for cold water, and a second, smaller one for the central heating.
Cold water header is being constantly used and replaced - it usually feeds everything in the house except the kitchen sink and maybe the outside tap (but not always) - so it's usually pretty clean.
Heating header isn't really circulating much. It's there so that as the water in the heating system is heated and expands, there's a place for the extra volume to go. Then as it cools and contracts, some is drawn into the pipework from the header again. So it's often pretty scummy and scaley. This is normal and isn't necessarily cause for concern: you won't be drinking it or washing in it.
To drain the heating header, you'd normally drain, or partly drain, the whole heating system. The lowest radiator, or the lowest heating pipe, in the house, normally has a drain cock with a place to attach a hose.
To drain down, first you need to stop the heating header re-filling. There may be a gate valve on the pipe leading to it which you can close. Otherwise, tie up the ball valve with a bit of wood bridging the tank and a bit of string. Attach a hose to the drain cock, dangle the other end outdoors somewhere (below the level of the cock, obviously), and open the cock.
This will drain the whole system, boiler, radiators and all. It's quite important (very, very important, really) that your boiler does not decide to start up while there's no water in it, so make sure this can't happen by switching it off thoroughly before you begin. Once dry, of course, your heating won't work.
To re-fill it, close the drain cock and open the gate valve or untie the ball valve. You should add corrosion inhibitor and anti-sludging stuff at this point, by pouring it into the header (it may be a lack of this that's made the header so scummy). Fernox is the usual stuff; you can buy it at B&Q or plumbers' supplies places.
If your system's well-designed, it should refill with no problems. But you should bleed all the rads and the boiler just in case once it's full. Some houses have legs of piping that can be very hard to get to refill. If yours is old, or has long legs of piping to distant radiators, or if you're not confident about any of this, or if it's crucial that your heating continues to work (probably is if you're on holiday over Christmas!), I suggest leaving it alone and getting the whole thing serviced by your freindly local heating engineer - or he'll sort it when he installs megaflow anyway.