shift, move, change, drift, catch (cold, fire), pass into
移 centers on movement from one place or state to another: shifting, moving, changing, or drifting. The senses of catching a cold or fire extend this idea as something passing into a person or object.
移 combines 禾 (grain) with 多, which likely contributes the sound and the idea of abundance or movement. The original sense may have been grain swaying or being transferred, leading to the general meaning of shifting or moving.
Grain 禾 piled up in abundance 多 needs to be shifted and moved around. Picture a farmer moving heaps of grain from one place to another.
For イ, imagine an eagle (イーグル) shifting its perch from one tree to another: eagle -> イ, and the bird moves just like the grain being shifted.
movement; transfer; migration; removal; travel
transition; changeover; switchover; shift
migration; move; emigration; immigration
to transfer (to a different place, group, etc.); to change; to move (something); to swap; to substitute; to relocate
moving; relocation; change of address
to move (to another place or state); to change (e.g. of state, affiliation, scenery, etc.); to be transferred
immigration; emigration
transplanting (a plant); transplant; grafting
transfer (of one's name into another family register)
transition; change; progress; development; shift
transferring; transitioning; changing
relocation (of facilities, an institution, factory, etc.); moving (to a different site)
moving (location, with the times, etc.); change; transition
transfer; transport; transportation
introduction (from outside); import; bringing in
transition (esp. in scientific, computing, etc. contexts)
transfer of control
change (e.g. season)
handing over (of a right, property, etc.); transfer; assignment
to change (with time, the ages, the seasons, etc.); to shift