:noremap L llll
:noramap H hhhh

and maybe
:noremap J jjjj
:noremap K kkkk

Yes, old meaning of H,J,K,L has been changed. Now when you are moving around your text, press Shift to get the cursor accelerated.

Or use acceleration (repeat l,h,j,k in the mappings) to your taste. I used 10x acceleration, but than slowed it down till 4x.