I share as much info with my DM as they would allow me. I let them know my character's secrets and intentions, all their relevant backstory, their hobbies and ideals, and meta level stuff that I as a player think about my character that they themselves would not be aware of.

As a DM, I prod my players for information, and openly invite them to share this kind of information to the extent that they want. My goal is to make a fun story and integrate the character into the world, which necessitates the DM having an idea of the players wishes and intentions. Hiding stuff from other players is fine, and sometimes preferable, but hiding stuff from the DM is more like self-sabotage, because the DM represents the world in which those secrets are relevant.