I bought a new UPS recently and I notice that there aren't enough outlets in the back to connect my gadgets and computers. My plan is to connect the UPS directly to the wall. Then attach a multi-outlet UPS like the APC or Belkin 12-outlet surge protector to the back of the UPS. Is this safe? Would you guys recommend it? Will the UPS work as intended and provide power to the gadgets that are connected to the surge protector, which is connected to the UPS?