i Have seen this done a lot over the years, and the easiest way is to make a square corridor in the big bedroom the size of the existing door frame, having a new stud wall in front of you, and the access (doors) to the new bedrooms facing one another, as in your picture the new right hand bedroom.
Electrics are as expensive as you choose it too be.
ie light fittings etc. one thing I would look into is plug sockets with the usb fittings as extra, so effectively minimum four plugs on a double socket.
how high are your ceilings, because a bed that is tall enough to walk under screwed to the wall frees up so much space, for the desk and wardrobe.
Or do you go for fold down desk and a fold down chair that can be hung on the wall, a wardrobe with the drawers inside it, screwed to the new partition wall which is the new wall opposite existing door frame, and a futon.
not to scale I know, but if the wardrobe is fixed with the clothes sorted, would your daughter like something on the lines of a Victorian daybed, and a Victorian dressing table to double as a desk.
i have a funny feeling the son will have the smaller bedroom, and if you could get a manhattan loft bed, he has all the floor space.
Have you looked into using the loft as storage. A decent ladder and boarding out is £2,000 approximately