Moving furniture from the United States to Madrid

Hello! Can someone either recommend an international furniture moving company or share their experiences moving furniture? I'm looking at the pros and cons of MAYBE moving some furniture from the United States (California) to Madrid. I wouldn't even consider this if it weren't for the fact that I have some family heirloom pieces that have sentimental value to our whole family. If I can ship my furniture for a reasonable price (and then throw in some pieces I won't have to replace) this may be an option.

Any comments appreciated! Thanks!!!