If Tor isn’t convenient enough for you, you can at least search privately using DuckDuckGo, the search engine that doesn’t track you.
How to encrypt your entire life in less than an hour
Quincy Larson

Another alternative is StartPage, which is said to be even better than DuckDuckGo. There’s also a project called Searx, which allows you to self-host a meta-search engine, which can be configured to work over Tor and provide even more security.