Exterior doors and permits
The City of Irving requires building permits to erect, enlarge, alter, move, demolish or repair a structure, and says cosmetic work such as painting needs none. Its residential permits page does not say whether replacing an exterior door or frame needs a permit, so ask Irving Inspections before ordering one. Either way, the federal lead rules apply on their own terms, permit or not.
Doors in rentals
Doors in a rental are opened and closed by a series of households, and a door that sticks can end up forced. At each turnover, check every door for paint worn through at the edges, rubbing marks on the jamb and stops, and chips on the floor below the hinge side. Paint chips on the threshold are worth a closer look. Fixing the swing and cleaning the floor beneath it is cheaper during a vacancy than after a tenant complaint.
Door work in a rental can fit inside a wider plan; see rental property lead hazard control. To find out which doors and other surfaces are hazards now, start with lead risk assessment. Other services appear on the Irving Lead Paint Removal home page.