Welcome to the tribe! Fun times ahead...
The best advice I can give is (considering that you already possess musicians ears and have decent taste) is listen to the music you already love, focusing now on the bass, and listen out for the things that make you think "that's really cool but I can't do that", then learn how to do it until you can and have absorbed that particular vocabulary.
Listen to how interesting bass parts work with/against/off the other things happening in the music. Learning basslines is cool (obvs) but a great bass player is aware of the whole. The bigger picture. It needn't be complicated nor overly theoretical to be amazing.
My suggestions, the ones that really grabbed me initially and made me focus on the bigger picture, are John Paul Jones of Led Zeppelin and Family Man Barratt of Bob Marley and The Wailers.
They are quite different but both players are a masterclass in rhythm, groove, melody and serving the whole. They are both clearly great listeners.
Might not speak to you the same way, but they did it for me. Whatever turns you on is the right path for you.
Regarding jazz - Paul Chambers' (Mr. PC) work with Miles Davis is another one. The album Kind Of Blue is the quintessential 'jump off into jazz' album, and for very good reason.
Enjoy the ride, you're in for a treat. It's the best!