About Lost Our Home Pet Rescue. Lost Our Home Pet Rescue is the only non-profit, no-kill pet rescue based in Tempe, AZ. whose mission is to save pets abandoned, or at risk of homelessness, due to a life crisis. Many of our programs are linked to the human-animal bond and extend beyond pets to include pet parents. Services include (1) 90-day temporary care program, (2) a pet food bank (3) rescue of abandoned pets, (4) pet intake for adoption from ...