Do not be afraid to include your children in your pets funeral arrangements. Many times children have a particular idea about how they would like to see their pet memorialized, but may be concerned about upsetting you by discussing it. Let them know that you would like their input, but do not insist on it if they feel uncomfortable discussing it.
Do not be concerned about allowing your children to be present during any funeral service or during an ash-scattering ceremony. The death of a pet is usually the first experience a child has with death. It should be as informative and as free of stress as possible, especially if the child was very close to the pet.