different type of commenting

I’ve been struggling with this for 2 days and I give up. I would so much appreciate if someone can help me.

My website is https://www.yupedia.com and the theme that I’m using is…

https://fearlessflyer.com/2011/02/free-wordpress-theme-maximum/

What I desperately want to do is change the way people comment. For example if you go to one of my posts…

https://www.yupedia.com/everything-you-need-to-know-about-the-mortgages-in-france.html

…you will see that the way people post is the standard wordpress way.

I want to change that into something that looks like the commenting on this site for example…

https://www.wisegeek.com/what-is-a-shear-wall.htm

It would mean so much if I can change the way people comment and make it the same as in wisegeek.com

Thank you,
Trajko