I have some of each.My newly renovated areas have the much easier to use, Lever style handles.The others will soon all be like these as I have severe arthritis and opening doors can be be a real challenge for me at the best of times!!!
My beautiful first home, all levers or vertical handles. Current home, round & I hate them. The front door one has been placed SO close to door jamb, scrape fingers opening it, especially at night, as can't see it; I won't leave light on as that invites 'no gooders' to check the place out! I do have a mini light attached to key ring, which works well, PROVIDED I not struggling with bags of groceries!
We have the round type. My husband doesn't like the look of the lever ones. When we enter that age bracket where we or our friends find it difficult to open and close doors we will get more user friendly door knobs!!! For now, it is not high on our priority list.