Corollas are extremely reliable cars. Don't let the car overheat. If the radiator is original, watch for cracks along the top tank. I have a hunch the radiator has already been replaced at some point with your mileage.
I would stay on top of the fluids. Change the power steering fluid by siphoning out the reservoir and putting new fluid in. Very easy. Do it twice or 3x and all the fluid will pretty much be new. I think the '07 Corolla uses ATF in the PS system?
What is the condition of the transmission fluid? This is very important. I would recommend doing a drain/fill of the ATF. It's just like an oil change.
I would stay on top of the fluids. Change the power steering fluid by siphoning out the reservoir and putting new fluid in. Very easy. Do it twice or 3x and all the fluid will pretty much be new. I think the '07 Corolla uses ATF in the PS system?
What is the condition of the transmission fluid? This is very important. I would recommend doing a drain/fill of the ATF. It's just like an oil change.