Good fencers are always busy - and usually worth the wait
Don't be in too much of a rush to drain too much, give yourselves time to learn about your land. Some moorland is ecologically important and fascinating. Even if you don't find it so, rushes (they'll be rushes not reeds) have their uses. Wet land is wetter and muddier and erodes faster without them. Clumps provide brilliant shelter for lambs on spring, and for sheep to get shade and/or relief from midges and flies in summer, and so on. Topping the rushes is good, grubbing them out may not always be for the best.
Look at what the farmers around you do. If they have reshy fields too, chances are that's the best way to keep them. If they've all drained and have good level grazing, well then you may well be right to do that on your land. Chat to them, too - they'll have seen all ways of managing the land around tried.
Oh, and we'll be needing pictures of that Fergie