totter

verbs

move without being stable, as if threatening to fall
"The drunk man tottered over to our table"
totter
is a type of (narrower)
move back and forth or sideways
"the ship was rocking"; "the tall building swayed"; "She rocked back and forth on her feet"
rock, shake, sway
walk unsteadily
"small children toddle"
coggle, dodder, paddle, toddle, totter, waddle
is derived from
totterer
move unsteadily, with a rocking motion
seesaw, teeter, totter