A good way of using augmented chords is as a chromatic passing chord between a minor chord and its relevant major (IE. C#m, Caug, Emaj, as in the bridge of 'The Beatles' All My Lovin'), you can do the same thing in reverse of course.An effective way of using Dim7 chords (IE. a dim triad with major sixth) is as a Dominant functioning chord a semitone higher than the diatonic dominant of that key (so for example F#dim7 instead of F7). Used in this way they function as Dom7b9 with the root omitted (so in this case F7b9no1). You can also use half diminished chords (minor seventh chords with a flat 5) to resolve to a major chord a semitone up quite effectively.Sixths and ninths (with or without the seventh) are almost always just used as 'colour' notes, they don't really change the harmonic implication in any way, just add texture. Careful when using a triad with a 6 however, as an inversion of a major 6 chord is the relevant minor of the same key, inverting a minor 6 chord (assuming a minor and not major sixth is used) will result in a maj7 chord built on the 6th degree.Using sevenths effectively is just a case of knowing diatonic harmony well really, and getting used to the sounds of the different chords so as to know when they would sound good. Generally the rule is that triads are stable and sevenths are unstable (though major sevenths can be considered resolved). Also you can resolve any Dom7 chord to the chord a fourth above (or fifth below) at any time, and you can substitute any Dom7 chord for the Dom7 chord a tritone away too (makes a nice chromatic root motion in a ii V7 I progression), you can do this because the 2 'essential' chord tones in a Dom7 chord are the third and seventh and this notes remain, they just 'swap' roles within the chord, they still resolve normally.And finally, you can insert 2-5-1 progressions (ii7,V7, I in major and iim7b5,V7,i in minor) leading to just about any major or minor chord (this is essentially the entire idea behind Jazz), and you can swap the first chord for another Dom7 if you like too.