This randomized phase III trial studies the side effects and how well different chemotherapy regimens with or without bevacizumab work in treating patients with stage IIIC or stage IV breast cancer. Drugs used in chemotherapy, such as paclitaxel, paclitaxel albumin-stabilized nanoparticle formulation (nab-paclitaxel), and ixabepilone, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Bevacizumab may block tumor growth by targeting certain cells and slowing the growth of blood vessels to the tumor. It is not yet known which treatment regimen is more effective in treating patients with breast cancer.