First of all, when we learn tunes that we are not very familiar with on the saxophone, the most important way is to listen repeatedly. Learn how to sing a song while others are playing it. Then learn as much as you can about the composer’s background and his thoughts. So you play it naturally.
Another is to mark the music, especially to pay attention to the climax part of the music, as well as technical difficulties.
Then find the breathing position through the repetition of the music. When breathing can be less one or two notes without affecting the normal course of music. No matter is gradually strong or gradually weak, blows the breath dynamics should not too big change.
In this way, when you play the saxophone, the feeling will be very characteristic, forming a different playing style and feeling.