Lacerations:
Wounds smaller than a half of an inch in diameter can be treated at home; anything larger requires professional medical attention.  With clean hands, gently clip the fur around the wound with electric clippers.  Use warm water or saline to flush out the wound.  Flush enough to remove all dirt and debris from the area.  You can apply an antibiotic cream such as Bacitracin twice daily.  If the wound becomes larger, produces purulent (pus) material or the animal is very uncomfortable, seek veterinary attention immediately.

Punctures
Your dog or cat may be frightened and hurt, so approach with caution.  Use a muzzle if needed.  Flush out the wound with saline or warm water.  Wrap large wounds with a clean cloth or bandage material to protect the wound.  Apply pressure if it is actively bleeding.  Puncture wounds often become infected and Tetanus, although rare in the dog and cat, does affect animals; therefore, veterinary attention is required. Oral antibiotics may be needed.