How should this sentence be revised?

Question

"The fox trotted happily on its way at the burrow."

Answer 1

"The fox trotted happily on its way to the burrow."

Trotted is generally used to move to a place, or through a place; e.g. "the horse trotted through the field". It can also be known in this context that burrows, while not being made for foxes but for rabbits (being the fox's prey), will not be trotted at, but trotted to, as the fox is heading to its dinner. Hence it trotted "happily". Furthermore, "on its way" implies a going-to action, hence "on its way to", rather than "on its way at".