Watch the Combining Major & Minor Triads online guitar lesson by Rob Garland from Chord Navigator: CAGED Triads
Select an area of the neck to play the first chord. Find a C-A-G-E-D shape such as the E shape, 8th fret E string and play C on the D,G,B strings. Now look for the next chords root note G; the C shape at the 10th fret A string is ideal. Continue through the rest of the chords and listen to how closely grouped these chords sound. I'll add some embellishments because I can't help myself.
Let's take a moment and have a closer look at which bass notes on the D string we just played and work out which inversions of the chords we're using. The C chord starts on a C bass note, so that is a root, the G chord starts on a B note, so that is a 1st inversion. You may see this chord written as G/B which means a G chord with a B note in the bass. Gm, F, and Fm also have 3rd's in their bass so they are also 1st inversions. The second C chord in the progression has a G in the bass and so it's a 2nd inversion. Dm has an A in the bass, also a 5th, so again that's a 2nd inversion. The more you work through this process the easier it is to see the inversions. Check out the descending bass line, an example of voice leading which ties the chords together.