Credibility refers to whether or not a source can be reliably assumed to be trustworthy and accurate. For example, Wikipedia is not considered a credible source because anyone is able to edit it. However, a peer-reviewed journal article can generally be assumed to be credible because it has been written by experts and has passed multiple rounds of inspection by other experts. That said, you should take the time to examine your sources regardless of where you found them to be sure that they're credible.
There are four major criteria to think about when determining whether or not a source is credible:
Spotting Fake News & Misinformation (infographic from the International Federation of Library Associations and Institutions)

Bias refers to the favour of a certain idea, side, or thing. It is present in many kinds of writing on many different kinds of sites, sometimes unconsciously. We often gravitate towards news and articles that appeal to our own beliefs, but this is not the best way to research.
Why does bias matter?
Being too biased towards a side will affect your research. You must be able to be objective and apply critical thinking towards various perspectives. Learning requires you to be able to be open to new ideas and information.
Signs that a source may be biased:
Types of Bias (infographic from Business Insider)

Bias Checkers