เราควรจะพึ่งพาตัวเองมากกว่านี้....

I should exert more self-reliance.
I should try harder to stand on my own feet (2 legs).
It's time I learned to paddle my own canoe.
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Idiom: paddle one's own canoe  (informal) = Be independent and self-reliant.
Ex:  We hoped that after he left college he'd paddle his own canoe.
http://idioms.thefreedictionary.com/paddle