You can do 2 things.
You can use your pc as a server if you have a decent connection which means you would need to leave it on while streaming.
You can use a remote server eg www.streamsolutions.co.uk
offer a decent hosting service for a very reasonable price. Others can be found at www.radiotoolbox.com/hosts
so you can decide which to use.
Your website will not 'host' a stream. It will be where you put a link to your stream so people can listen to you.
There are many answers to be found regarding these points by using the search function.