I recently saw a show on physics that said something about some universal constant(s) might actually have been different billions of years ago, implying that these constants change. Does anybody know where I can get some more info on this?

Try the search function. The item often investigated is the fine structure constant.

Or you can try using Google, but be careful, there are a lot of incorrect sites out there regarding this kind of topic, if you need help picking out trustworthy sites we can help.

 

Also this is a currently debated topic and there is research going into things such as this, so reading a report from 2 years ago may not give you all the latest news.