Tetras schools question?.!?

I want to get a school of tetras. I was thinking 3 neons tetras 3 golden tetras, 3 glo lite tetras and 3 black neon tetras. Is that good? Will they mAke a big s school? Also I have 3 cherub barbs and am getting 3 more and I was wondering if they would school and swim around with the tetra group. If not wat other fish would that isn't a tetra