Flit, flutter, flitter, flicker, hover suggest the movements of a bird or other flying or floating thing and mean to move in a manner like or reminiscent of such movements.
Flit implies a light and swift passing from place to place or point to point.
Flutter implies the movement of a bird rapidly beating its wings or the restless flitting of a moth about a light; it especially implies unsteadiness and agitation.
Flitter implies the lightness and quickness of movement suggested by flit but usually also suggests the uneasiness or uncertainty connoted by flutter.
Flicker implies a light fluttering or a fitfully wavering movement/
Hover implies a hanging suspended over something like a bird maintaining its position in the air by an even usually slow movement of the wings; the word frequently connotes irresolution, sometimes menace, sometimes solicitude.