As of today, officially supported integrations (WebExtensions, Telegram bot), and some major integrations (Discord, SauceNAO) has been updated to the new domain. In upcoming days I'll work with developers of remaining 3rd party integrations (including API users) to notify the change.
Why the name trace.moe?
This search engine tells you more than the anime name, but actually trace back the moment of the scene. And quite a number of users actually need "time tracing" even they already know the anime. That's why I think using "trace" instead of "whatanime" better describes this search engine.