What does "lady of the house" mean? Does it simply refer to the house owner? If so, could I use it for a male as well?

What does "get along" mean?

To "get along" in this context means to be friendly or be on good terms with someone by having a harmonious relationship. Ex: Do you and your siblings fight? No, we all get along pretty well. Ex: I get along well with my roommates.

What does she mean by "get the finger"?

By "get the finger", she's referring to the hand gesture with the middle finger raised. This is a rude gesture as it's the general nonverbal sign for "fuck off" or "fuck you". She's saying all the children would be "giving" her this hand sign if she wasn't strict. Ex: Excuse me! Did you just give me the finger?! Ex: After he was rude to me, I just gave him the finger and left. Ex: I get the finger from my friends all the time. It's a joke between us.

What's "face" mean here? I don't think it means somebody's face

In this context, "to face" something means to deal with, encounter, or confront something. This is often used in combination with the words "issue," "problem," "challenge," or "difficulty," and is usually used to indicate an issue posing a challenge in a negative way. Ex: Putin is currently facing additional economic sanctions due to his invasion of Ukraine. Ex: Ukrainians are facing a huge challenge: the potential takeover of their country.

Can I skip "all" in this sentence? Will the meaning be changed?

"All the" is an informal expression often added to a sentence to add emphasis. The speaker has used this expression to emphasize that the noises are very loud. You can use this expression in similar situations when you wish to emphasize something. Ex: What's with all this food? It's not a special day or holiday. Ex: What's with all the noise? I'm trying to sleep.

What does "lady of the house" mean? Does it simply refer to the house owner? If so, could I use it for a male as well?

The "the lady of the house" refers to the most important or responsible female in the house. Such as a wife, mother, or if only a lady lives in the house. You can use this phrase with males as well! You can say "the man of the house". The phrase isn't common to say these days, but you can use it! Ex: After dad left, I became the man of the house. Ex: Where is the lady of the house? Is she coming to the party?