Notes on these expressions

To be up to your eyes in something = to be very busy with something
out of hand = out of control
Put your back into something – make an effort.
Keep an eye on = watch, look after
to do something by the skin of one’s teeth means to have very little time to waste when trying to meet a deadline.Strange, when you consider that we don’t have any skin on our teeth!
with your eyes shut = not noticing what is happening.
Put one’s foot in something – say something inappropriate, tactless or embarrassing