I've played trumpet for 3 years, and I'm thinking about picking up a simple woodwind instrument. I think personally, either clarinet or alto sax. But please, based on what I have played, price, and skill, help me find a woodwind! Thanks! :)
Among woodwinds, clarinet and flute have the most varied repertoire. Much more than oboe, subcontrabassoon, ocarina, etc. Flute embouchure may be more foreign to you than the clarinet's. Also, as a transposing instrument, clarinets are closer to trumpets (B flat is common) than flutes (C, G). So, clarinet.
I would say Saxophone is the easiest instrument I have learned but the hardest to get a good sound on. The fingerings are easier than clarinet and the embouchure is easier than flute. The fingerings on saxophone are very similar to recorder (and flute) so they are very easy. Just try to get lessons if you can to avoid any mistakes while learning. Also alto saxes are very cheap and you can easily switch to any other sax if you choose down the line.
On any, the embouchure is very different from trumpet, especially flute - which may well be the cheapest option, and smaller easier to carry, etc.
Clarinet in B♭ is a good option - same sort of range as trumpet, and uses same music, as both are transposing instruments, so you can play off your existing dots.
It's also not too different fingering wise from sax and flute, so later you can move across without too much upheaval finding notes.