If you want a wireless 'wifi' internet connection at home you need a wireless router connected to your internet service, which will either be from your telephone company or Virgin cable.
As you do not have a phone line this option is not available to you unless you are in a Virgin cable area and you are prepared to contract to them.
So, your only option is the mobile broadband from Vodafone, 3, Orange or TMobile and that is dependent on the strength of the signal you will receive.
It will no way match the speed or regular broadband.