appropriate verbs for "experience"

[hardworker]

I would like to make up two sentences with the noun, "experience".

(1) He is constantly pursuing (or exploring) the most meaningful experience in life.

(2) Bringing peace to the world and improving the lives of the needy are the most rewarding experiences one can ever yearn for (or covet).

I am not sure if the verbs in red fit the noun, experience(s). Please explain this. Thank you very much for your time and help.

[Alan]

Of the two, 'pursue' and 'yearn for' are the more natural choices.