I'm going to jump in with a startling admonition ... you've made the wrong choice!
Learn the scale first :-)
And here is WHY ...
Western harmony is scale based and chords are triads, or tertian chords, based on the scales. In addition, the naming of chords generally (but not always) refers to the scale (e.g "C6", "CMaj7", etc.).
Now, this might seem a tad harsh, but really it isn't. And you can MIX the two ... that is, learn your C Major scale, and then learn several of the chords for it --- so you're really learning the scale and the chords at almost the same time :-)
Here's a (possibly) helpful graphic:
After you know the C Major scale, any "C-based" chord is easily computed based on your knowledge of the scale. (In addition, you're familiar with minor chords and one diminished chord that can serve as gateways to other "keys").
Plus, most or all of the things you learn from C Major will apply to G Major, to D Major, perhaps F Major, and so on. Before long you're not only good at harmony, but you've gained a treasure trove of theoretical knowdled and you have some scalar technique that you can use for melodic playing, solos, etc.