I'd like to learn more about Edward of Woodstock, also known as the Black Prince. I've started by looking at Froissart's chronicles, but am wary of his bias. Are his chronicles considered a good source? What other sources should I be looking at?
Froissart is one of the most influential and best sources for chivalric culture and nobility in fourteenth century France and England. His Chronicles are an engaging read written by a contemporary who actually witnessed or spoke to witnesses of many of the events he included in his text.
As a medieval author he is incapable of being without bias. I would argue that no source is truly objective - even financial documents have survival bias - but that's not necessarily a bad thing. Society is full of bias, and an author's bias can tell you a lot about the culture they participated in while they were writing. Medieval authors tend to be pretty explicit in their bias (Froissart isn't a great friend to the common man, and he ain't afraid to show it), which is actually kind of great - especially if you haven't read a primary source before.
Whenever you're reading history you should be trying to get a picture of who the author is and what they believe as you go. Every author has bias, no work of history is truly objective. The great thing about medieval chroniclers is that they'll often just tell you what their biases are, or at least make them so obvious you'd be hard pressed to miss them. They often didn't believe that objectivity was something to strive for - the dominant opinion of medieval historians that history was supposed to be exemplary, i.e. that historical stories would describe or encourage ideal behaviour usually by providing moral lessons. While this can complicate finding out what truly happened in a situation, it often provides so much more information than just a straightforward description of events.
the tl;dr is that Froissart is an amazing source, he is definitely biased (although less biased than some medieval authors), but so is basically everyone so that shouldn't discourage you from reading him, just do so with a critical eye.
One way to help in your reading of Froissart would be to also read a biography of the Black Prince. David Green is probably the preeminent scholar of the Black Prince and has written two books on the subject, The Black Prince and Edward the Black Prince: Power in Medieval Europe. If you want a broader than just the Black Prince survey, David Green's The Hundred Years War: A People's History is a great book, it covers slightly longer than Froissart (the Chronicles only really cover the first half of the Hundred Years War) but is a great introduction to the war and that period in Anglo-French history.
Michael Jones also recently published a biography of the Black Prince that I've heard some good things about, but I haven't read it and I'm not familiar with his overall work.