I have got my hands full already with all kinds of work, and haven't got the time for any more.

我手头已经堆满了各种工作，因此我无暇再搞别的事啦。

《新英汉大辞典》

She had her hands full with new arrivals.

她为这些新来的忙得不可开交。

《柯林斯英汉双解大词典》

She went into the house immediately — her hands full of sweet flowers, and her face red with exercise.

她立刻进了屋，她的手上捧着芬芳的花，脸也因为运动而变得红润。

youdao

Near her a gray-haired woman, with her hands full of pink and white roses, watched her sympathetically.

VOA: special.2010.05.15

Pennsylvania Senator Arlen Specter, a Democrat, had his hands full trying to calm down a man in Lebanon, Pennsylvania, who was angry about being denied a chance to ask a question.

VOA: standard.2009.08.12

She found the hands of others full of sunshine and warmth.

VOA: special.2009.11.15

Within minutes he's got his hands full of chocolate chip, peanut butter and banana nut bagels.

FORBES: Doughboy

With more than 390, 000 customers spread across 145 countries, Oracle has its hands full.

FORBES: Are Customers Feeling the Love?

In the meantime engineers will have their hands full trying to keep up with the curve.

FORBES: Trick of the Light