I play saxes, trumpet, and trombone.
Saxes are more expensive to buy and maintain. Plus you need to buy reeds.
The first time I picked up a sax (four years ago) I was able to play the highest note (F3) on that sax. I have been playing trumpet for over 50 years and still do not have a high register. However it took me until last month to get to where I can play the two lowest notes reliably on the tenor. (Other saxes are no problem.)
Brass involves more pain. Sax is less convenient to schlep to gigs.
Brass players play alpha-male by hitting high notes. Sax players do it by buying vintage equipment.
Brass permanently disfigures your lips. Look at Louis Armstrong's mouth. I do not recomment that pretty girls take up tuba or trombone.
Fingering: The sax is more intuitive than the trumpet. Where the notes fall makes more sense. On the trumpet you have eight fingering positions (seven, actually, since two of them provide the same length of pipe) from which to play all the notes.
Sax has a register key. On trumpet you have to do it with your chops.
I can lay off sax for a month and play a four-hour gig with no endurance problems. If I lay off trumpet for two weeks, my range after about an hour is compromised until I'm lucky to hit E2.
In my experience, sax was easier to learn and is easier to play. After playing one less than six months I was playing gigs and had started recording a CD. (I wish I'd waited.

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