Thank you very much :D I’ve looked through my books and here are some of my favourites about ancient Egypt and Greece:
Books about Egyptian/Greek history/society:
Many of these books contain chapters on fashion and clothing in Egypt/Greece, but I also recommend that you take a look at:
Pharaonic Egyptian Clothing (it’s out of print, but I know that it’s available at quite a few libraries)
NB! I also use art from ancient Egypt/Greece/Rome etc. as a valuable source on historical fashion. I usually start with looking at some original artwork to get a general idea of how people dressed in a specific society/period and then start to research it more thorough afterwards. Knowing what you’re looking for always makes research a lot easier!