I'm swampedphraseI have more work than I can easily manage.“I'm swamped with emails this morning.”I've got a lot on my platephraseI have many tasks or responsibilities to manage.“I've got a lot on my plate this week. Can we talk Friday?”I've got my hands full right nowphraseI'm too busy with what I'm already doing to take on more.“I've got my hands full right now with the kids.”I'm tied up at the momentphraseI'm currently busy and unavailable.“I'm tied up at the moment. Can I call you back?”My schedule's packed todayphraseI have very little free time today.“My schedule's packed today, but tomorrow is open.”