Folks who are at port waiting to ship out, you can get a good guess which ship(s) you might be on by looking at the shipping schedules on the WW website (
https://www.2wglobal.com) sorted by route (if you're in the USA, look at ships leaving Europe for North America). Look for ships that stop at Bremmerhaven (even if it's not the original port of departure) and have an arrival stop at your port of entry.
My port of entry will be Baltimore and there is a ship (Tiger) departing Bremmerhaven 6/22 with 7/3 arrival in Baltimore (it already arrived in Bremmerhaven on 6/20). Next after that will be some 7/1 departures with 7/14 and 7/16 arrivals. I am hoping I'm on the Tiger.
BMW does use other carriers, but every single BMW I've had shipped over has been on WW, so that is the first place I search.