Buying a domain

There are two different options of buying a domain:

Option 1: Redirecting/Forwarding
1st you can buy one and have it redirect to your blog address. Imagine it as having a postbox and all your mail gets sent there, but then forwarded to your personal address. It's like that and the domain address hides your other address :-) It's considered a bit more professional.

With this option your blog remains with Wordpress or Blogspot/Blogger. It lives there and you just forward your visitors to its address via the domain address.

Option 2: Hosting
This 2nd option generally costs you a bit more and normally also involves a lot more manual work, which can be iffy (even I stay away from it because I just cant be bothered and I know my stuff!). With this you buy webspace and move your blog there away from Wordpress and Blogspot/Blogger. You basically buy your blog a new house and need to move it there.

I dont recommend this option. It's complicated and unless you actually run a business and/or understand all the proper tech-stuff. I don't mean this in a mean way, but it's just not necessary when you only want to write about beauty and stuff.