I'm not one to advertise for someone else but at the sametime i know how much it can cost to run a website.
I found bluehost to be the best out of the 2 listed above.
for the price your paying they provide alot...storage wise alone doubled what the above 2 services are providing.. look for yourself

again, i'm not promoting bluehost but rather helping out someone who can put out alot of money to run a site.

I have shared hosting.
running dolphin
and everything seems to be working fine for see more $70US