First, remove children and pets from the area. Gather up the broken glass with a broom. Then remove large pieces while wearing gloves. Glass can shatter far and wide, so check the space thoroughly.
Place the pieces in at least one plastic bag before placing in trash. Vacuum thoroughly. To effectively and safely clean up any tiny remaining shards, use this tip from yesteryear: Fold a piece of white bread in half and wipe the area with the bread. Then carefully wipe up residue with layers of damp paper toweling.