same here mate
if you have good coding abilities you can code on a netbook too and still produce quality work.
i would stay away from hp though, everytime i had hp, it was a nightmare to find drivers, and then install them. hp just makes it too complicated.
the best experience i had was with asus, acer, sony and dell.
also IMO asking for a “best laptop to do webdesign” is like asking for the best car to go shopping to the nearest mall.
just look for quality and you will be fine. also you should look for a good battery lifetime, if you plan to work while traveling. if it is too big, it defeats the purpose of being portable enough, so if you want to work on it at home, consider a desktop machine.
that is my 2 cents, hope you will find it useful. also more info as to why you want a notebook, and what are your working conditions would help.