I have a friend who started saying "let me just bing that" to get people to laugh. Now I've started saying it at work... originally for a laugh, but I find I'm using DDG and Bing more often than Google now. (Alas how I miss AltaVista) So it may be sooner than you think. I mean... my data set is only two people, so maybe it will only be 2 hours sooner than you think.
Man I haven't used Google in 10 years yet I still say I "Googled it." It's just a saying at this point, not an endorsement.