Celica fuel pump works fine. You will need to run it straight, DO NOT connect the secondary fuel pump driver from the ecu. The Lexus has a two speed pump. The Celica is a one speed pump. If you connect FP from the ecu to your fuel it'll die under throttle.
Also the fuel filter won't work, so swap to a "universal one" or one from a dodge caravan.
You REALLY, REALLY, REALLY need to read the 1uz swap thread in the write up section. All of your questions are answered there. Well, 99% anyway.