Chazal tell us that the Mitzvah of tzitzis is equal to all of the other Mitzvos combined, and is meant to be a reminder to us of all the other Mitzvos. It is as well a protection against any danger.
Therefore, one should be careful to never walk 4 amos (aprox 8 ft.) without wearing tzitzis, even if this means having to put them on before washing negel vaser in the morning.