order to respect
The best way to help novices to learn something is to give them the standard order of certain items. When it comes to the order of guitar chords, what a novice should know?
You'll find throughout the history of guitar that there is no standard order as how to learn guitar chords. Many of the older tutorial books, such as those by Frederick Noad, would usually use C, G, and F as the first three chords to learn. Trouble is that for most beginning guitarists, these chords are extremely difficult to play.
Here at Guitar Noise, you'll find an article for beginners learning their first chords here:
This is certainly an easier order than using C, G, and F.
But there is a whole other aspect of learning chords that you want to address as well, and that's changing chords. Learning chords in any order doesn't really matter because ultimately you're going to want to be able to change between any possible chords. Learning which chords tend to go together in songs helps you to practice a "family" of chords (and to be fair to the C, G, and F proponents, a lot of songs do indeed use these three chords). Starting with songs that have two or three chords, such as "Horse With No Name" or "For What It's Worth" or "Three Marlenas" (all of which there are lessons for here at Guitar Noise) is a good start.
Ultimately the order you learn chords in isn't anywhere near as important as simply learning them. But in terms of ease of playing and of getting your fingers used to making changes, you might try these:
That should be enough to get you going.
Hope this helps and welcome, by the way, to Guitar Noise. Looking forward to seeing you around on the Forum pages.