One of the perks of having your own Fediverse server is your domain name, which gives your account a more personalised feel.
However, bear in mind that most people will only see the first part of your Fediverse address in mentions. For example this address:
@ me @ widgets.example
...would look like this if you're mentioned in discussions:
@ me
Generic and unmemorable first parts of addresses can cause confusion. It's safer to use your identity in both parts:
@ widgets @ widgets.example