Re: pharasal verb
Your last example is not about phrasal verbs.
The word "tidying" is a gerund.
A strict grammarian would tell you that it should be "my tidying" and that's how I would write and usually how I would say it. However, many people do use "me tidying" with the exact same intended meaning.
(This is where someone like The Parser will jump in an explain the difference between "He didn't like the idea of my marrying his daughter" and "He didn't like the idea of me marrying his daughter" but the truth is, most people don't know that it's "supposed" to be "my" and just make an error (according to strict grammar) by saying "me.")
A phrasal verb doesn't change this.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.