You dont have to drain the tank, just isolate it. If you cant find a local service valve for it then turn the whole house of. If you are a novice, then changing it for a new one would be easier. Servicing them can be a pain, especially if the they are all scaled up.
Hold on to the main body with a set of grips and undo the nut that connects the pipe to the valve just out side the tank. Then undo the two retaining nuts that keep the valve secured to the tank, paying attention to a reddish coloured washer that seals the two together, this is a fibre washer and should be replaced for a new one. Take the valve to the local plumbers merchant and get them to sort out a new one and grab some PTFE and a new fibre washer whilst you are there. The floats are often sold seperately - buy a new one for a quid or so or use the old one.
Assemble that lot back together but wrap a bit of PTFE tape around the thread before doing up the nut - just to be on the safe side. Dont over tighten and slowly put the water back on. Keep an eye on the fitting for a bit just in case it needs an extra pinch with the spanner. Remember also, that the mains will be at full pressure when the tank is full and at night too when the local demand is a less. So check the valve in the morning too. This may seem overkill but a bit of caution doesnt hurt.