Chromium is the opensource project Google based Chrome on, there should be no need to explicitly stress it's Google free, Chromium is vanilla until google's APIs are added in. I guess the name persists for additional clarity though.
I personally use Henry's chrlauncher: https://github.com/henrypp/chrlauncher
Some trust is needed but if given it automatically checks for builds on an automated build server and updates Chromium before launching it.