Which saxophone is most difficult to learn, which is least?

I play several instruments but now I really want to learn how to play the sax. I love the sound and when I was younger, I played it for a bit but was too young to take it seriously. I'm not interested in the b, contrab, soprano, sopranino, or (god help us all) the sopranissimo saxes. I want to pick up either a bari, alto, or tenor sax. Which one do you have to blow harder in? or does it not matter? I would ume that the higher the range, the harder you have to blow. Are there any other differences that might make one more difficult to play or learn than another? Are the prices generally the same for all of them? All feedback helps