I totally respect this question and the willingness to explore some Coltrane because one loves music. This might be one of the more random responses out there but...
Through my teens (in the 1990's) I loved skateboarding and spent a lot of my youth engaging in enjoying it as a creative outlet. At the time most music in skate videos was punk, alternative, thrash etc then there was this one clip on a movie where this professional skateboarder was cruising along to a tune by Red Garland and John Coltrane. At first I didn't like it then after watching a couple more times it made perfect sense, the free flowing music with the free flowing activity. I've listened to Jazz ever since and now have quite a few Jazz records.
https://www.youtube.com/watch?v=gizM-PuVnY0To me it's more of a feeling. I know nothing about music really other than I know I like listening to a lot of it. With Jazz it's more visuals in my head and, like I say - a feeling I get. Like when I listen to the Coltrane track 'out of this world' (for example) it feels kind of like a meditation on life where I can imagine ordinary people doing what they do somewhere say like New York city with fast cuts to the imagery. Keep in mind that track does get a bit wild at points so might not be everyone's cup of tea. Anyway perhaps that is a little too random.
Anyway, I really hope you find some stuff you like and no big deal if you don't really. Music is so subjective. Like many others have probably said 'kind of blue' by Miles Davis is an amazing starting point into Jazz. I actually like the trumpet more than the sax on the whole but for some reason I find Coltrane's music comforting. All the best!