Jumping into something new to get over someone is like painting over mold.

Covering something does not stop it growing, it only stops you seeing it grow. The feeling underneath keeps spreading at exactly the same rate, and now a new person and a new situation are involved in a problem that was never theirs. The paint looks fine for about a month.

Leave an actual gap and be honest with yourself about why you are starting something. If the answer is to stop feeling the last thing, that is worth knowing before somebody else is in it. Time and boredom are unglamorous and they do the job that distraction cannot.