"A little from column A, and a little from column B."
That is to say, Saru and the crew will keep their secret until they know they could trust that the person they tell won't use that information against the Discovery and its crew.
Saru would be smart to stay separate from the current Federation until he finds he could trust them. He shouldn't come to them and say "Here we are, the Long-Lost USS Discovery reporting in to Starfleet/The Federation for duty, at your full disposal and waiting on you for our next assignment!"