 The purpose of this study is to test whether it is safe to treat your cancer with 3 drugs instead of 2 drugs. After surgery, your cancer is typically treated with 2 drugs called cisplatin and paclitaxel also known as Taxol. Cisplatin is given through a port in your belly, and Taxol is given both through the belly port and through the vein IV. Large clinical studies have shown that this treatment gives the best results for women with your cancer. This treatment, however, also causes many side effects, especially belly pain, nerve injury, lowering of the immune system, and infection risk. In the study you are being asked to join, the dose of Cisplatin will be lower in order to try to lessen these problems. This study will also test the safety of adding a 3rd drug called bevacizumab also known as Avastin. This drug has been shown to shrink ovarian, peritoneal, or fallopian tube cancer in some patients who have advanced disease, despite having received prior treatment for their cancer. Therefore, it may also be effective in patients, like you, who have a new diagnosis. 