Hi Stereo, I'm using a 5m plastic brooder ring, which will do 100 chicks, which will do 100 chicks for up to 4 weeks (I'm guessing as my first time at this quantity). I'm doing mine in a 20ft shipping container so I don't have to worry about rats. Regarding your size, you know the size you need for the small quantities of of that you have done in the past, so divide 100 by the number you did in the past and then times that number by the m2 of floor space plus a bit extra to get your brooder size.
Be very careful of rats. They will chew through almost anything and will go for even quite big chicks. If you are putting your brooder in a shed where rats could potentially get in, your brooder needs to be like a weld mesh cage.
I wouldn't keep them in for 6 weeks, chuck them outside at 4 weeks.
Unless there is any particular reason for brooding them in batches, I.i.e. Different blood lines, I would brood them all together. 3 different brooders means 3 different heat lamps, 3 sets of feeders and drinkers and that all need topping up and cleaning. Get a thermostatic heat lamp that does 100 chicks as much more efficient.
Hope this helps. Robin