Transatlantic Moving Cos & Furniture Debate

I am moving from US to Europe (California to Austria) and starting my search for moving companies for approx 1 bedroom apartment. Has anyone liked their movers? Any tips more generally?

I'm still deciding whether to bring furniture (maybe just American King size bed, 6 seat dining table, long dresser). They are pieces we've carefully selected and invested in over the years, and love them very much. There's a chance we'll move back into the same house in a few years, but the company I will be working for will pay to move what we want (though I do need to pay tax on that 'income'). We don't want to limit our rental options on the other side, and so, are torn. Note: we will be 2 people, 1 medium dog, flexible on neighborhood - we will be in one of Austria's smaller cities. Thoughts from anyone who's made similar moves?