Question:
Is there a problem with putting a basin of netillas yadaim water under my bed during the night so I can use it to wash in the morning?
Answer:
It is preferable not to keep the water underneath your bed, however if it was, it may be used for netilas yodayim.
Best wishes
Sources:
Shevet Halevi 8-22 (2), Shraga Hameir 7-72 (7), Halichos Shomo ( Tefilla) 20 ftnt. 49, Teshuvos V’hanhagos 2-1, Piskei Teshuvos 4-12.