Does rim width affect what tire size I can use

Thank you all for your input....it helps and looks like I'm set for both tire sizes...one last question....any fitment issues with running the 205's versus the 185's on a 64 Barraucda with stock steering and suspension ?

You should be fine with those front tires. I'm running 215/65-15's on the front of my 66 Valiant with no issues whatsoever.