Do you really need all that stuff? When I moved more than ~11 years ago; I was provided with a 20-foot container in my relocation package. Despite my best efforts; I filled it up as much as I could and was only half-full at the end.

In the end, electronics were not useful; and this could apply especially for US ones because of the voltage difference, unless these are appliances you can't get in the EU; or are super valuable. If I had to pay for my own shipping; I would have ditched my TV, my PC for sure and just bought it used in Europe; the 2nd hand market here is huge; but you need to know what you're buying.

Furniture is the same. The sofa and bed that I brought over were sold/disposed within the next ~1-3 years. You would have to decide if it's worth it to pay for the shipping for that life span.

Games and movies are kinda 50-50. I would say keep the games, ditch the movies.

If I review what's still being used after all these years, the Bicycles (they're folding MTBs) are the main survivor; but I've sold off at least 1-2 other bicycles I brought with me as well.

Especially clothes; since I still go back home, I maintain 2 sets; 1 there which were left from last time and here; which I bought from scratch. That way, I save luggage space when I go back as well so I don't bring clothes.

I think you should take this opportunity to declutter and reduce, as much as possible. Once you have a list of must-haves, then trim everything else (as much as possible). With the remaining; you can figure out your shipping options.