High Schools in Lugano

Hi, my name is Tidy Minghetti, I'm Italian and I'm planning to move to Lugano before next Summer with my 2 daughters of 15 and 11. At the moment we live in Milan, Italy and they're both attending the Italian schools. I was looking for other options in Lugano apart from Tasis, Istituto Elvetico and Leonardo Da Vinci. Does anyone have other suggestions?
Both my kids are studying English and French but they've never studied German. If anyone can help, I would very much appreciate. Thank you