Showing taxonomies with terms that are attached to custom post

Perhaps you can change the label of your taxonomy, as seen on the Function Reference

Somewhere in your code, there must be something like

register_taxonomy("bikes", "post", [
  // ...
]);

you can change it to

register_taxonomy("bikes", "post", [
  "label" => "Bicycle"
]);

PLEASE NOTE that this part is the definition of the taxonomy itself. Changing it means changing the taxonomy itself and it can affect other parts of your project.