I'd advise not practising with a tuner precisely because it forces you to use your eyes to tell you that you're in tune, rather than your ears. And you can't use a tuner during a live performance to tune individual notes. Also, it tells you how your pitch compares to a reference pitch, which won't help if everyone else in the band is playing slightly sharp or flat.
The skill you need to practise is using your ears to play in tune with your bandmates.
My suggestion would be to get together with another patient trumpet player (or some other wind player - someone who can play long sustained notes, so not guitar, not piano) and practice doing long unisons and simple intervals.
When you're not in tune with each other you get a beating effect - the two notes fight. But when you are in tune, you can't tell there are two players any more - it just sounds like one person.
The thing to practise is tracking the other person's pitch as they play. You have to adjust your pitch to follow theirs - and at first you won't be sure what direction to adjust in. So maybe you'll sharpen your note when you should have flattened it, and the beating will get worse. So adjust in the other direction. After some practice, you'll learn whether you need to adjust up or down, and you can make your notes converge on the other person's note. And unisons sound really good!