If you host a server at your home or etc., then it is free. But if you host it at a site (eg: verygames), then it costs money.
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It does not cost anything to get a minecraft server. You simply download the Minecraft_server.exe from the minecraft website download page. Then, you run it to make your own server.
You can download the Minecraft server software at their main website, from that application you can create a minecraft server using your own wi-fi or resources. This won't cost anything unless you don't have enough bandwidth and you overload your router for creating or running too big of a server.
Why would you make a minecraft server to play on it urself? It wastes RAM and time.
In server.properties Edit The "motd= Server" And Make It Whatever You Want
Type in 'minecraft server hosting' on google, and you'll find a ton of hosts for your server with tutorials.