To migrate is to move about. Usually used for animals, like birds that fly south for the winter.
(Also used for people who move about wherever work can be found, like farm workers who follow the harvest seasons around the country. They may be called "migrant workers.")
Immigration is people moving into a country.
Emigration is people leaving a country.
(To remember which is which, remember that the "e" in "emigrant" is from the same Latin as "ex" in "exit.")
Student or Learner