What treatments for foreign object in nose can I try at home?

Blow it out. For young children. Occlude the non-affected bare, place your mouth over theirs with a good seal and give a quick "puff" of breath. This often will blow the object out. Be warned that the object and mucous may hit you in the face when you do this. For older kids or adults, simply attempt to blow it out by blowing the nose. If unable to do this then seek medical care.