How is electric bicycle going to help you exercise?
But seriously, at least for me, carrying seems to be a lot easier on hilly courses. I've done both carry and use push carts. But I found carrying is a lot easier on hilly courses. On flatter courses, hands down push carts are easier.
In years past I have posted on my sports memorabilia blog about Eddie Grant. He was the first major leaguer to die in the service of his country. He enlisted in April, 1917 and was KIA during the Meuse-Argonne Offensive, October, 1918. Grant played in the 1913 World Series for the NY Giants and then had left the game to open a law practice.
The Eddie Grant Story