Allright, I found the solution after a little while. turns out it is not as easy as the first time, but do-able. First off, forget about old plugins with old API's -> Twitter API v 1.0 is 'retired' as they state on their website.
The most important change is that you now need authorization keys (4 of them actually). You can get them by signing in to your Twitter account (you have to have one, otherwise, sign up). Then go to https://dev.twitter.com/apps and create a new application (really). Give it a name, then create your Keys. You'll get the first 2 right away (Consumer key, Consumer Secret) and you can create the other 2 in the bottom of the page (Access token, Access token secret).
Almost there :-)
Now, you can either write your own feed or plugin or you'll take a decent plugin like this one -> http://wordpress.org/plugins/really-simple-twitter-feed-widget/ which is compatible with the v1.1 API from Twitter.
Most of the time this will work right out of the box, which is nice for a change. Now if you have trouble and you see this functions instead: " Warning: curl_exec() has been disabled for security reasons " the follow these instructions: