check your Power Steering level and see if its low or check for leaks on power steering almost looks red like transmission fluid
check your brake pads
I have a screeching sound in my pick up when it gets up to 2000 rpms. Does not make the noise while idling and starts fine.
toyota tarago Toyota (for one), Terraplane (for another).
Check the pulley or blower wheel if it is a belt driven type of system.