Ricardo: Besarabia being in the Russian empire, the first problem they probably had was to leave it. If they had a passport, that would be easy, but it was difficult and expensive to get a passport. People usually passed the border to Austria-Hungary by night, maybe bribing the guards, often with the help of some "migration agent".   Once in Austria-Hungary (in their case that would be the provinces of Bucovina or Galicia), the train to Vienna and then to Leipzig (where there was a "registration station"), then Berlin (where there were sanitary controls) and finally Hamburg.