In the scene where the woman speaks into the microphone and a dove lands on a perch, the scene was filmed in an interior set. The dove was filmed simply standing on perch, the flying of the dove was created through cgi. The trainers brought the doves in a cage to the set, placed the dove on the perch, they took the shot.
In the scene where the actors sit in the living room, with the pig sitting next to them, the pig and the dog were walked to the set. The animals were introduced and acquainted with the actors prior to shooting. The pig was placed on the couch next to the family.
In the scene when we see a horse drawn wagon drives down the road, real horse trainers drove the carriage.