One of the reasons that Honda has stuck to 175 for city is to improve fuel economy. I would suggest sticking to 175 for optimal fuel economy. If your dad buys fuel for you by all means go ahead and get the most badass tire you can.
The additional 10mm width is not going to make a world of a difference in road grip and you will feel an additional resistance to steering as the surface contact area would increase. But the latter point is very subjective. I feel it, you may not.
Wider tires may allow for better cornering, but if you are driving on public roads, within safe speed limits, you should not need to worry about this.