How can I get a separate wireless internet service for a laptop?
You can connect a router to any Internet Service Provider. The router controls your wireless connection not the Service provider. Just buy a router, install by connecting to DSL or Cable modem, install the software and connect. This way you do not have to have an extra cable or phone line and no extra expense. Go to this site for complete details on setting up your home WIFI wireless 802.11 a/b/g/n network and use any router etc you please instead of ones shown. http://www.microsoft.
You will need to contract with another Internet Service Provider (ISP) to run a cable to your house so that you can connect a separate wireless router to it. This will give you what you want. It will also cost you gobs of money on top of the money that will be wasted by not using the already-existing Internet service that’s being delivered to your home.