Display a Twitter accounts list on my website


Hi ! After searching on the web I came here cause I can’t find what I want.
I want to display on my website a list of Twitter accounts with avatar, nickname, (description) and follow button like this pages : http://www.sportingnews.com/nhl/story/2014-02-24/2014-nhl-must-follow-list-best-twitter-followers-top-pro-professional-hockey-ranking or http://twittercounter.com/pages/100
In the API I found how to embed tweets or timelines but not that. I could display the list in html with links but I want the accounts be updated if the owner change informations so I wonder how to do…
Can anybody help me please ? Thanks in advance