Like he said, there isn't any wrong way to learn to play chord changes. One thing you can try to do is play songs by Creedance Clearwater Revival. Most of their songs are just three or four chords so it's easy to learn the progression, and then will help get faster at changing between each chord. Here's a tab for you to try.

"Proud Mary" - CCR
     C         A
e |------------------------|
b |--1--1--1---2--2--2-----|
g |--0--0--0---2--2--2-----|
d |--2--2--2---2--2--2-----|
a |--3--3--3---0--0--0-----|
e |------------------------|

for the C chord put your index finger on the 1st fret, middle finger on the 2nd fret, and ring finger on the 3rd fret.. for the A chord take your index and ring finger off the guitar and use your middle finger to hold the b, g, and d strings down. this one will be tough but makes it easier to switch inbetween these type of chords later on. hope this helps.
David
david@guitartricks.com