Hi Josephine,
I suggest a gentle, patient approach. Simply asking yourself what might be going on down deep, as events or symptoms arise is most of the work. In time you're likely to see more and more.
Therapy, journaling, a program like the SEP at the Wiki will all stimulate and support your inquiry.
You might start with filling this out many times out loud or in writing:
"One thing that makes me angry is_____________" or "Something my Inner Child feels today is ____________" Use your imagination, which will take you closer to the truth.
It is really less about "finding the deepest feelings and rooting them out" as much as it is "opening the door to feelings" so that there is less inner suppression and tension.
Andy B