• 移動いどう — movement, migration
• 移住いじゅう — migration, relocation
• 移転いてん — transfer (of property, office)
• 移行いこう — transition
• 移植いしょく — transplant (surgery, plants)
• 移民いみん — immigrant

The character 移 combines 禾 (grain) with 多 (many, here as phonetic). It originally suggested moving or swaying grain in the wind, which evolved into meanings of movement and relocation.

来月らいげつ、本社ほんしゃが 移転いてんします。
The head office will relocate next month.

このファイルを 別べつのフォルダに 移動いどうしてください。
Please move this file to another folder.

The on-yomi イ (i) appears in compound words. The kun-yomi うつる and うつす describe movement — “to move (intransitive)” and “to move (transitive)” respectively.