Browser fingerprinting is an extremely subtle and problematic method of tracking, which we documented with the Panopticlick project. Privacy Badger can detect canvas-based fingerprinting, and will block third party domains that use it. Detection of other forms of fingerprinting and protections against first-party fingerprinting are ongoing projects. Of course, once a domain is blocked by Privacy Badger, it will no longer be able to fingerprint you.
Secure search engines are a vital tool for protecting your online privacy. Encrypting your searches helps to prevent your data from being exposed to third parties. You need to choose a secure search engine that fits your needs from various available options( DuckDuckGo, SearchEncrypt, and Mojeek).