I have some parent-child relations with the Blender objects that I'm working with, to make the things cleaner. Now I have an object with all its children that I don't want any more, the object specifically is an empty and the children are some meshes, there are a bunch of them and I'm looking for an easy and fast way to delete them all to avoid select them one-by-one. Maybe some python script?
Select the parent object, then use ShiftG > Children to select all the children automatically.
You can then remove the parent-child relationships acting upon all selected objects by pressing AltP.
See the official docs on parenting