To make the sentence flow correctly, I suggest taking good care of the parallelisms: The experience of having been my parent's (Spanish) teacher, helping first them, and later close friends, to improve their conversational skills, and eventually forming a family and teaching my own children to speak the language...
Or: Over the years, I've taught my parents (to speak Spanish), correcting them as they learned to speak; later on I helped close friends as well, and with time, founded my own family and repeated the process with my children...
I'm assuming that this person is talking about the Spanish language.

The expression "me vi" followed by a gerund is quite common in Spanish, but not that much in English. I´d go for "found myself" because it sounds natural; it´s widely used and also because I believe it to be its semantic equivalent. It goes with the text flow and it conveys the original meaning, which is what you are looking for.