I'm also new to playing sax (but I've been playing guitar for 11 years) I use a tuner everyday when I practise long tones and stuff like that. Just to keep track on where I'm at and to help me memorize which notes are sharp or flat.
However when it comes to practising intonation (even though intonation is more or less developing every time you play). I prefer using a "real" instrument as much as possible. Sometimes I hit chords on the piano with the sustain pedal and play the arpeggios on sax as the sax resonates against the piano it's really easy to hear. Sometimes I type in the chords into logic or band in a box. I think it's important to involve your ears in every aspect of your practice routine. It's just as important to know how it sounds to be in tune than how it feels.
But a tuner is a important tool. And if you buy one make shure it's a transposing one so you can change between trumpet and sax. And try to get one with a metronome as well. A metronome is even more important than a tuner!
However when it comes to practising intonation (even though intonation is more or less developing every time you play). I prefer using a "real" instrument as much as possible. Sometimes I hit chords on the piano with the sustain pedal and play the arpeggios on sax as the sax resonates against the piano it's really easy to hear. Sometimes I type in the chords into logic or band in a box. I think it's important to involve your ears in every aspect of your practice routine. It's just as important to know how it sounds to be in tune than how it feels.
But a tuner is a important tool. And if you buy one make shure it's a transposing one so you can change between trumpet and sax. And try to get one with a metronome as well. A metronome is even more important than a tuner!