One of the שש זכירות requires that I remember the Exodus from Egypt (זכירת יציאת מצרים). According to the linked Wiki document, in an effort to fulfill (לְמַעַן תִּזְכֹּר אֶת יוֹם צֵאתְךָ מֵאֶרֶץ מִצְרַיִם כֹּל יְמֵי חַיֶּיךָ: (דברים ט"ז, I say the third perek of the Sh'ma (though many other things all seem to be marking that remembrance as well).
In one sense, I remember the specific date (as stated here) or the literal fact that I left/am leaving (sort of here). In another sense, I mark all the things that the exodus led up to (or to the echoes of the events) as discussed here, or the exodus as a foundation for the ability to do everything else in my life (here, sort of). But I am not clear, though, on what I am remembering in order to be mekayem this (Rabbinic) mitzvah/obligation.
Am I remembering an event, a change in status, God's general power or something else? In the preparatory prayer before donning my tefillin I say וְשֶׁנִּזְכֹּר נִסִּים וְנִפְלָאוֹת שֶׁעָשָׂה עִמָּנוּ בְּהוֹצִיאָנוּ מִמִּצְרָיִם that I am remembering the miracles and wonders done then. What should I be focusing on?