have a lot on one's plate
Also, have too much on one's plate. Have a great deal (or too much) to cope with, as in What with the new baby and the new house, they have a lot on their plate, or I can't take that on now; I've got too much on my plate already. This expression transfers a loaded or overloaded dinner plate to other activities. [First half of 1900s]
Words nearby have a lot on one's plate
have a hard time,
have a head for,
have a heart,
have a hold over,
have a lot going for,
have a lot on one's plate,
have a mind to,
have a nerve,
have a nice day,
have a penchant for,
have a right to