Tyres for Honda Jazz

I own a 2015 Honda Jazz 1.2SV MT. The tyres now need to be replaced. The original tyres are Bridgestone 175/65 R-15, non-alloy wheels. I have two questions:

  1. If I want to upsize, what size and brand would you recommend without compromising on mileage. I mostly drive within city or highways.
  2. Is upsizing to R16 feasible and if so, how would the performance be impacted?