It is hard.

I moved to Germany in 2018, and only just this month reached B1 level in the language; and that was a pre-Brexit move so I don't need to care about visa.

The EU has a "blue card" scheme modeled on US green card: https://en.wikipedia.org/wiki/Blue_Card_(European_Union)

If language is your biggest barrier, pick a country whose language you already speak. As this clearly includes English, Ireland if you want specifically EU, and UK if you just want the continent (mainly London, but I spent a long time in Cambridge tech sector).

Germany may still be an option even without being a native speaker (depending on your skills), but with all the difficulty everyone has today with AI messing with job hunting, get the contract before considering a move.

Generally immigrating to Europe is fairly easy if you have an employment offer. And the rest of the family would apply as family members of a resident. With a work offer, there's typically no language requirements (apart from what the work requires).

Without a job offer, yeah not gonna happen easily unless you e.g. show an ancestral connection to the specific country.

Not that hard if you are in young to middle years and have any job experience. I asked Perplexity "If an American citizen, a trained engineer with some experience, desired to work abroad in the EU or an English-first nation, what are some good websites to check?"

I suggest you do the same -- the reply lists a dozen promising sites.

https://www.perplexity.ai/search/if-an-american-citizen-a-tr...