larger rims on your classic

Hello classic car lovers. I am looking for feedback from anyone who has put larger than stock rims on their car. I have a '65 drop top 440 Rambler American with stock 14 inch rims. I want to go bigger, 16 or 17 inch but keep the overall size stock or close to it. I worry how the ride will change. I assume the handling will improve but will it ride like a tank? Your experiences and comments are crucial to me and I thank all in advance.

How about interference with the fender and inner structure, better figure that out first.