Kevin you really need a pilot on the end to keep it straight. Is the reamer adjustable or just a 1" non-adjustable?
The difference is that with an adjustable, you can make a few passes with it set to clean off the swarf left in the spiral grooves first, before slowly increasing the diameter, with each pass. A non adjustable means that you get one chance to get it straight and the action of turning will be so much harder.
If you get the bore slightly out of alignment between the two bushes, the pin won't pass through, and then you have to widen the bore to get it through which means more play from the outset.
Good luck!
DaveW '05 Red Roadster S1 '16 Yellow (Not the only) Narrow AR GDI Plus 4