Can someone please help me on forum design?

I am sure most of you hate newbies and probably have repeated the answers to this question a million times but I really need some help. I am interested in creating a gaming forums and I know I will need a moderator, a domain name, as well a pay monthly fees. But after a long google search I have come up empty.
So that leads me here.
The format I am interested in using is the same as this format for this forums:
http://forums.tmgaming.com/
There is also another section to that forums like this just for moderators and a select few other members. Its like this:
http://cms.tmgaming.com/index.php?db=cp

If anyone can shed some light on to what format these forums are and how I can create a website like this, PLEASE help me out. As I mentioned I have been searching forever and just cant seem to get any help.

Thanks so much for your time, I appreciate it very much and I hope to see some replies.

Is there nobody here that can help? I'll keep my fingers crossed.

Are you trying to get the theme like that ? If so, then try to go to hitskin.com, maybe you'll find what you want.
If your question is what version / format they use on forumotion then you should ask the admin of the forum.

Here's a link to a topic that discuss about which Format/version is best on forumotion : https://help.forumotion.com/t29802-which-would-you-choose-phpbb2-phpbb3-punbb-or-invision

Can someone tell me if the format for the free forums on here are the same setup as the forums in my links from my original posts?

I guess to sum up my first post. I need help starting a forums with all the features of the linked forums. I just dont know where to start. It was my understanding I needed to pay for servers, etc. Things like that before I even think about starting a forums page.
I am basically stuck at "Where to start".
Thanks in advance for any help anyone can offer.

To create a forum, you do not have to pay.

https://www.forumotion.com/free-forum