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Having a website in addition to the Facebok page is a great idea! I should definitely consider making one
However, the best and most efficient way to get someone interested in something is trough Facebook. Everybody is on social networks nowadays and has his attention there.
if you want to buy a domain then do it now, because vultures may buy these domains when they see your interest in them here.
i have also tried buying a domain a while back but whatever variation i chose from my site, the name was taken by a domain hoarder and then was put for sale for 10+ times the real value.