The goal of this clinical research study is to learn if giving certain combinations of chemotherapy drugs before and after surgery, mostly in the outpatient clinic instead of in the hospital, can result in fewer hospital stays during treatment for osteosarcoma. The drugs and schedules will vary depending on the status of the cancer and its level of risk for spreading, but they will include combinations of doxorubicin (non-liposomal), cisplatin, methotrexate, and ifosfamide, as described below.