I'm trying to understand how the holiness codes in Leviticus and Deuteronomy apply to people versus places. It is written, "all shall keep your laws" and "all shall post the laws at their gates", so presumably every Jewish family must celebrate Passover, but does that mean every family must do so at least once at their own individual dwelling every year? It doesn't seem sensible that every family must celebrate Pesach in their own homes since that's why people attend synagogue seders. If a family attends seder other than their own house, must they clean their house as if they are celebrating Passover there anyway?
A Jew is prohibited from owning Hamez over the seven days of Pesah. If a Jew didn't nullify (or destroy or sell) his or her Hamez before Pesah and returns home to see his or her own Hamez, s/he has transgressed at least one Torah prohibition.
Therefore, one must nullify one's Hamez before Pesah irrespective of if s/he may not be at home at all during the holiday of Pesah since, in the event one does enter one's home during Pesah, s/he will transgress a Torah prohibition.