Perhaps better names can be thought of due to a personal connection or interest.
So maybe in order to help you come up with a name (instead of one being handed to you), people could explain why they've name their website as they have.
My website is called, "Seppuku Arts", why 'seppuku'? My first game plans were for a Samurai JRPG about a Ronin. In my looking into Japanese history, a word I liked was 'Seppuku' because it was form a warrior restoring his honour, but it involved suicide - 'seppuku' is ritual suicide. My interest in warrior culture hasn't remained unchanged, as I also have a great interest in Vikings. Seppuku Arts is appropriate, I don't have a meaningful connection with it, but it's a name I think's catching. At least in the past I've been told off for wanting to change my username.
Maybe a personal connection can be formed, people seem to always fail to get the name right. "Suppeku", "Seppukku", "Sepukku", "Seppuko", "Sodoku".

It perhaps mirror's my real name in that sense, "Brynne", "Brian", "Bryan", "Brine", "Bryne", and the strangest (no kidding), "Beatrice".