As a former trumpet player, I like to listen to any albums by Maynard Ferguson or Doc Severinsen. Chuck Mangione is also good. Other instrumentalist that I enjoy is Kenny G playing the soprano sax.
I too was a former trumpet player until I accidentally sat on your Louis Armstrong model tinfoil hat. I crushed it beyond repair, and sadly my trumpet playing days are over.
A little known feature of the Louis "Satchmo" Armstrong Tinfoil Hat is that if you crush it, it turns into our Dizzy Gillespie model: Your trumpet playing days may not be over!
My favorite trumpet player is Herb Alpert. When I was a little girl, I wanted to learn to play the trumpet. My parents told me that was a boy's instrument. My father took me to the music store, because I had asked for a trumpet. There was one hanging on the wall. He handed it to me and told me to try to play it. No matter how hard I blew, I couldn't get a sound out of it. So that was that. I settled on guitar. I'm very out of practice though. I also loved the saxophone. You don't see many women playing brass instruments, actually. Don't know if it's true, but I read that the sax on Baker Street is played by a woman. ETA: I googled it and found that it wasn't a woman. It was a musician named Raphael Ravenscroft. He was paid 27euros for that iconic solo, and the check bounced.
I liked Herb Alpert's songs and styling. Played a lot of his songs back then for various bands when they were still hits. Amongst my local group of professional trumpet players, Herb was known for his "pressureless" embouchure for the trumpet mouthpiece. Made his tone very soft and nice. On another note, when I was a freshman in high school and just joining the concert band, the lead trumpet player at the time was a senior girl. She was really good and had what my teacher at the time called, a "natural" embouchure which allowed her to play effortlessly most of the time. Btw, just blowing into any brass instrument will not produce sound. You have to vibrate your lips (via your embouchure) to generate sound waves that are then amplified through the metal. That is done with a wood or plastic reed, instead of lips, on a saxophone.
Yes, my father knew that. It was a last-ditch attempt to discourage me, and it worked. I was about 8yo at the time. Before that, they told me that my cheeks would blow out like Louis Armstrong, but I didn't care. I still wanted a trumpet.