The concept that people choose to move to places that are compatible with their personalities and needs is known as

Selective migration

Explanation:

Selective migration can be influenced by a couple of different factors.

For example, Those with high competitive drive tend to like to migrate from countries with communistic style into a free market countries.

Political stability and religious values could also be a factor. People who don't believe in god for example, tend to more likely to migrates to countries who do not mix religious laws with civil laws together.