As mentioned before, your website will be something like your home base. Neither Facebook, nor Twitter or any other platform will be able to replace your own, personal website, and the reasons for this have already been outlined a few times.
Your friends and as well as most other artists may tell you the opposite, but that's bullshit of course.
Most artists don't want to run a website – it sounds like a costly toy and a lot of work while they don't really understand the benefits.
Building and maintaining a website can be cheap and pretty much easy nowadays, and in this subchapter you'll learn what the benefits are and how you will be able do this the right way.