By Chabad Chassidim, it is accustomed to be very strict with washing negel vasser before getting out of bed, and before putting one’s feet on the floor (unless one was sleeping in a bunk bed, in which case, if necessary, one may climb down before washing).
However, in other circles people are accustomed to be lenient, because the whole room is like daled amos (it is prohibited to learn Torah within 4 amos of a meis, and even outside his 4 amos it’s prohibited in the entire room – so we learn out from here that the whole room is like 4 amos).
If people will be woken up as a result of washing negel vasser by the bed, there is additional room for leniency, if there is a real need to be lenient.
@Nechomah – See Halichos Shlomo;Tefilah;Perek 20, Orchos halacha footnote 49) for the story with the Ger Tzedek, may the Almighty avenge his blood. HaRav Shlomo Zalmen Auerbach zt”l said this over in the name of the saintly Gaon of Vilna.