For the summer I wear the DOT approved shorty. You will notice both have visibility enhanced with DayGlo and refelective stickers. Your new helmet should fit semi-snugly, not be loose. The fit will loosen up a bit as you wear it. Those lids so many people wear are nearly useless in a crash.
All real helmets are more comfortable, and fit better.
They have better padding and many are ventilated for warm weather. That is one of the wierdest things I see people do. It seems to suggest his brain size. . And last, I'm sorry if this is you, but when I see people with no helmet, I assume they have no brain to protect. If they had a brain, they would know they could get in an accident at any time and should be wearing a helmet.