I have been using Ungoogled Chromium as my main (and mostly sole) browser for years. The Chromium codebase is more modern and secure than the alternatives. Ungoogled Chromium does not just rip Google out of the browser, it has some neat patches integrated that benefit security and privacy. Three of them expose flags that, when enabled, help to frustrate fingerprinting. Those flags are disabled by default, so you might want to consider enabling them:
chrome://flags/#fingerprinting-canvas-image-data-noise
chrome://flags/#fingerprinting-canvas-measuretext-noise
chrome://flags/#fingerprinting-client-rects-noiseWhile these flags do not prevent fingerprinting, they do randomize some of the output that is used to fingerprint.