Migrate

To relocate periodically from one region to another, usually according to the seasons.

"Twice a year the Minnesotans migrate from their state to the Gulf of Mexico."

To change one's geographic pattern of habitation.

"Many groups had migrated to western Europe from the plains of eastern Europe."

To change habitations across a border; to move from one country or political region to another.

"To escape persecution, they migrated to a neutral country."

To move slowly towards, usually in groups.

"Once the hosts started bickering in the kitchens, the guests began to migrate towards the living room."