Inyoury

I wasn't able to find any bumper which allows the lightening cord adapter from 30-pin to fit. So I always had to remove the bumper to charge my phone. The wall charger lightening cord is thinner so there wasn't any problem. But the 0.2m adapter cord is fatter and can't fit.
http://store.apple.com/us/product/MD824ZM/A/lightning-to-30-pin-adapter-02-m

However my wife found a bumper made in Japan which works great! Very minimalistic and sturdy.
http://www.gadgetmac.com/reviews/power-support-flat-bumper-for-iphone-5-review.html

I hope this helps some of you who had the same issue as me. Prior to putting on my new bumper, I simply stopped using any case or bumper. But after my son kept dropping my phone, fortunately on the carpet, I decided I need something to protect it again.