So somehow I've received the How Little We Know quest to find out what big thing the Omertas are planning and stop them. But I just read a post that says that's a House quest in the The House Alwas Wins questline. I'm only on the first quest to retrieve the chip from Benny.

I think I may have triggered it by doing the free Joana from the Omertas quest. She mentioned something about it.

So my question is should I go ahead and finish it now, or wait until I've been assigned the quest from House? I don't know if I'm going to work for House or go it alone. What did you do there your first time?

Cheers.

Finish it now, So you don't have to deal with it later.

You still get paid when he brings up you already did this.

A little learning is a dangerous thing.

It's not a House quest. It's a quest hooked from House, but can be hooked from other places. Many quests have multiple hooks.