Steering wiggles

I'll check the steering bolts asap. These are brand new tires (less than 250 miles) and it has done the same thing with 2 sets of rims (15x7's rubbed at full lock in reverse, went to a 15x6 and it only rubs barely on one side now) Could the manual box be worn and the tires are not turning at the same rate? Box has not been rebuilt as far as I know and the car has 87k on it. I may go with a PS set up all new in the winter. I will still check the tires for odd wear though too.