+1 for rental; every last ounce counts on transatlantic flights, and the US has a bunch of extremely good rental houses that'll ship anything from a gimbal to a dolly cart to your set, often cheaper than the step up to business class to get a decent baggage allowance, plus you know it's going to arrive safely (I've had bags lost both ways). If you're using studio lights it's the only way to go (not least because your EU bulbs will be expecting 230V). Suggest you check the listings on MandY.com
Unless you're on a backlot or have a very generous budget and can get every possible bit of kit "just in case", blocking every shot beforehand is essential so you know if you need a shoulder rig, dolly (with or without rails), etc, etc. They do look slightly different and a camera operator can often tell what's used in a scene, but the real deciding factor is ground surface vs. camera path. Dollies are great if you want horizontal sweeps on concrete, but there's a reason Hollywood never followed anyone up stairs! Gimbals will get you into tight spaces, but if the operator has to walk about it takes a lot of practice to avoid the little bounces from each step as they're just not heavy enough, hence the Steadicam arm+vest system. Depends on budget but rather than dry-hiring a gimbal it might be safer to hire a local operator who owns one, even if they fly your camera.
