I just gained entrance to the strip and was accosted, I mean 'met' by you know who. Anyway, Ed-E and Veronica are currently at my side. If I go and visit Mr. House, am I going to lose Veronica? I'd prefer to keep her around.

They wait for you outside,

I'm sorry, I should have gone into more detail. If I go in and my talk ends up in something quest related, etc., will that make her leave me?

No. You can pick up your companions after your talk.

Ahhhhh! Thanks!

ED-E is a loyal little bugger to the end.

Veronica won't leave you at this stage in the game or for the action you're taking, and will generally only leave you if...