viel um die Ohren haben... : to be rushed off one's feet, be up to one's ears in work, to have a lot on one's plate
zB: Leider kann ich heute nicht mitkommen. Ich habe viel um die Ohren.
(" 'Fraid I can't come with you today. I've got a lot on my plate.")
from Guide to German Idioms by J. P. Lupson