Is it in my best interest to contact a lawyer for my sons broken arm

Your fact pattern is a wee bit ambiguous as to how the accident happened. Assuming that your child was sliding down a carpet based surface and at some point in the process his foot got tangled into a a point in the carpet that was not properly maintained, then you would have a case. Under Fla law, a property owner has a duty to make regular inspections for any defects that are obvious or latent (hidden) to the naked eye. A significant issue in the case is the evidence that will establish that fact. Did u take any pictures of the place that caused your son to slip? Were there any other witnesses? Once these questions are explored and others that bear on ancillary issues, The issue of liability may become easier to analyze, but the facts are not enough to make aproper ascertation of liability   Stephen Black