7.3Start with only I, IV, and V
In C:
I = C
IV = F
V = G / G7
These three chords alone can harmonize a huge amount of simple tonal music.
So when you first harmonize a melody, do not immediately use all seven diatonic chords.
Try:
C, F, G7
first.
Then add:
Am
and:
Dm
only when useful.