pjw, while I appreciate acman’s endorsement, I do have great appreciation for Teagarden’s music, but I’m far from an expert. There are a great number of his recordings I’ve never heard. I came to love his style and tone from listening to Louie Armstrong recordings where he was a member.
So influenced by that my top recommendation would be any of T’s recordings made with Armstrong’s All Stars during the late ’40s and early ’50s. The best of those I’ve heard is from their Town Hall Concert 1947 -
https://www.youtube.com/watch?v=fQm-2N-TW24&list=RDfQm-2N-TW24&t=18That is available in a couple different CD versions. I have it on LP and in a 78 album.
I also like him leading his own group here on "big T swings" -
https://www.youtube.com/watch?v=j9udjEXDpAgAlso this album with an under appreciated trumpet player, Bobby Hackett, at least today if not during his own time -
https://www.youtube.com/watch?v=ut25CIF2a1cI have heard a couple of T’s late ’50s, early ’60s which I didn’t enjoy as much. He’d lost his touch and his groups were not as top notch from what I heard.
Good luck in finding one or two that bring you great enjoyment.
PS - That "Dark Eyes" suggested by acman sounds damn fine to me.