How does a Star Trek virgin go about losing one’s card? There must be a generally agreed order of approach to all the series and films by now. (The breadth and longevity of it has kept me wary.)
There actually isn’t a generally agreed order of approach, and many folks tend to assume what worked for them will be what’s best for others.
Most of the shows were designed to stand alone if need be, and can provide an entry point. They’ll fill you in on the essential lore along the way.
At this point, your own tolerances for 60s and 90s styles of television and visual effects might be a deciding point. If you want to jump right in with something new, Strange New Worlds is designed as the new live action entry to the franchise - but others have started recently with the animated comedy Lower Decks or the family show Prodigy.
There was a sidebar “Where do I start?” FAQ on the subreddit that listed options (release date; in-universe chronological; by personal preferences for serialization or not).