What is the difference between the Alto, Tenor, and Baritone saxaphone? Do they have the same fingering as flute? Thanks!

Hi
The basic fingering for the alto saxophone is the same as the flute but some of the higher notes differ slightly I think middle C to the C two octaves above that are the same. I don't play tenor or baritone but I'm pretty sure they are almost the same too

Oh and I think the only difference between the alto, tenor and baritone sax is their size and pitch xx