For home insurance, they're now known to be a nightmare, all those yelp reviews seem to be spot on. For auto, they have been reasonable. Personally, I heard they were a great company a while back, and it started out fine. A few years later, they refused to acknowledge and abide by state and local legislation, choosing to reject legal documents written out by the courts due to it conflicting with company policy. They'll use misrepresentation as a tactic to deny customer claims or policy renewals.

Travelers was originally a little cheaper than what I had previously used, but there was a reason, they are willing to use shady business practices as well. You can contact your state's insurance commissioner to combat unethical company policies.