My browser seems to block some of the ads (not sure why - I think it's my script blocker). I see a pop-up now and again with a "Please disable ad blocker", but it doesn't mess with me being logged in.
In the upper-left, I can see not only my name, but also my avatar. If I point to either, it shows a dropdown with access to all of my forums settings and preferences. The one silly thing (Yo AsstMod! Beat the programmers over this) is that all the things showing me that I'm logged in disappear if I'm looking at reviews or PTs.
I tell my browser to remember my password. I also told the FPA to keep me logged in. On the rare occasion I somehow get logged out, getting logged back in only takes a couple seconds.