If you say that someone is trundling somewhere, you mean that they are walking slowly, often in a tired way or with heavy steps. Girls trundle in carrying heavy book bags. to move slowly along on wheels, or to make something do this by pushing or pulling it (trundle (16-21 centuries), from trendle (11-17 centuries), from trendel)
If you trundle something somewhere, especially a small, heavy object with wheels, you move or roll it along slowly. The old man lifted the barrow and trundled it away
If a vehicle trundles somewhere, it moves there slowly, often with difficulty or an irregular movement. The train eventually trundled in at 7.54