Here's the space I dedicated to my mods in past games:
*Thaumcraft: two 19x19 rooms (21x21 on the outside). It may look like you can do with one at the start, but that will change.
*Blood Magic: at least (!!) two 19x19 rooms (won't be enough for the L6 altar, though L5 is a close fit). All the rituals, the automated alchemy and the spells take up a crazy amount of space.
*AE2: one 19x19 room, including some auto-processing machines if their number is low.
*Botania: one 19x19 room, though this may get a little cramped if you want to include the Gaia ritual.
Each room is circular and has a 24 block diameter (on the inside), and each tower has two floors. There are 4 towers and 1 large tower in the middle which I'm planning to make around 25-30 diameter, which also has 2-3 floors. When you say that you used 19*19 measurements, do need a square or is a circle fine?