listen to this的

listen to this的
Woman: Look at these glasses, this one's even got lipstick on it.
Waiter: I'm very sorry, madam. I'll bring you clean ones right away.
Dialogue 2:
Man: Ah, Head Waiter, I want to have a word with you.
Head Waiter: Yes, sir. Is there something wrong, sir?
Man: Something wrong? I should think there is something wrong. My wife and I have been
kept here waiting nearly an hour for our meal!
Head Waiter: I'm terribly sorry about that, sir. Our staff has been kept unusually busy this
evening. I'll see to it personally myself. Now, if you wouldn't mind just telling me what you
ordered.
这句话的I'll see to it personally myself什么意思 这句的see是什么意思personally myself什么意思?