What you said in your original question reminded me of The Golden Rule, which has a few different variations, but essentially says:
Treat others as you would want to be treated.
So, if your message is to be a reminder of how you want to live and honor your father, you could use some variant of the Golden Rule, or you could use:
Live by the Golden Rule
Your question originally said:
His words like "try to being a good people"... [I want to] turn this sentence to a really deep meaning idiom/proverb for a tattoo on my arm
Since you are looking for an inspirational message that could be used as a tattoo, I'm assuming that you want something shorter than, say:
Try your best to treat others as you would wish to be treated yourself, and you will find that this is the shortest way to benevolence. (Mencius VII.A.4)
So, one brief message you might consider is:
Pay it forward.
which gained some popularity after a recent film by the same name, although the concept has been around for centuries.
As this website explains:
The simplest way to define “pay it forward” is that when someone does something for you, instead of paying that person back directly, you pass it on to another person instead.
It has been proven that acts of kindness build exponentially in a community. Because people believe that one good deed deserves another, “Paying it forward” can make the world a better place.
It may not be the closest English phrase capturing the essence of what you want to say, but if you think of your father's life as the original good deed, it could be an inspirational reminder for a lifetime.