Why not use 2 browsers and set each to one and the other?
There are now over a dozen browsers so with that, a link:
Recently in the news it was reported that Google was not showing all data for Trump/Clinton searches, it was partial to one candidate . So I switched to Bing. I miss Google and just this AM said why can't I do both. However data on the internet is old from a time when Bing was just introduced and one site www.bingvs google did not even work. I posted this here because I use the Safari browser and did not see any Forum for search engines. Does anyone have any suggestions other than Chrome which I have not tried?