Hi - back as promised:
I have looked at both books you mention, and also the instruments.
If you and DP are not already particularly musical, I would ask why are you looking at a digital piano for the girls, rather than a touch-sensitive keyboard, with backings, rhythms, hundreds of different sounds etc? A keyboard could also have adequate piano sounds, and be a lot easier to play and gain satisfaction and enjoyment from than a piano, which involves a lot more (fairly) serious work, and practice before tunes start to sound decent.
Are there any particular reasons, other than price, why you are considering Casio and Korg? Had you considered Yamaha, who do a similar range of digital pianos, that DO also have some of the features of a keyboard.
Are you aiming for the girls to play serious Classical music eventually, or is something less challenging considered?
Regarding the music books, I would avoid books that colour the keys and notes: it is not necessary. So I would consider the first book suitable for the younger child, and for the older one possibly the Kenneth Baker books. If you answer these queries, I will give more help if I can.
www.amazon.co.uk/The-Complete-Piano-Player-Book/dp/0711904316