I am certain that I am not the only one who is fed up by the live chat windows that automatically launch on some websites. I am wondering if there is anyway to browse anonymously so your visit is not known. The websites I am going to are just housing where I am looking for ideas.
First, the kind of "in-page" pop-up you're referring to isn't considered an ad by most ad-blocking filter lists. It's considered legitimate self-promotion, unlike third-party pop-ups that advertise some other company's products. Still, most of those in-page pop-ups can be blocked by subscribing to the Fanboy's Annoyances filter list in AdBlock's options, FILTER LISTS tab.
Next, there are various ways to browse anonymously:
In AdBlock, subscribe to the EasyPrivacy filter list, which blocks trackers that follow you across the Web.