Get all bicycle infrastructure for a city

I am trying to write a query to get all bike lanes to display on a map for my project. I want to display all types of bike lanes(shared ,dedicated,tracks etc)

[out:json][timeout:25]; // gather results ( // query part for: “cycleway=*”

// sharrow
way"cycleway"="shared_lane" ;

// CONVENTIONAL BICYCLE LANE // lane on both sides of the street
way"cycleway"="lane";

// lane on either side
way"cycleway:left";
way"cycleway:right";

// dedicated bikeways
way"highway"="cycleway";

way"bicycle"="designated";

); out body;

; out skel qt;

Am I missing some parameters because I am not getting the same map as open cycle maps. I understand that the open cycle maps is displaying cycling routes as well. So I added the parameter

relation"route"="bicycle";

But I am not very sure about what a relation is. Also it gives a lot of overlapping paths. Are all bile paths covered under a relation? Also from my understanding, this relation also has routes which would not necessarily go through a bike path. Coming back to my original question, are there any other parameters that I can add to my query to get all bike paths?

I found this query on overpass turbo:

/ This shows the cycleway and cycleroute network. /

[out:json];

( // get cycle route relatoins
relationroute=bicycle;
// get cycleways
wayhighway=cycleway;
way[highway=path]bicycle=designated; );

out body;

; out skel qt;

But this doesn't show info about the paths like shares, one way, left,right. I want all these parameters as well to segregate the diff types of bicycle paths