Drunken Monk distraction in combat

Looking for some advice as I make a drunken-monk style character. All of their attacks will look like accidentally bumping into people. 

I'm hoping to homebrew some rules that when I approach an enemy I can use persuade, intimidate, etc. as a bonus action to distract them before I make an attack. (Giving me attack advantage?) 

Think of a spy movie where the hero asks the henchman, “do you have the time?” And as they check their watch, the hero attacks. except more drunk and haphazard. 

how would you approach this idea?

First, ask your DM if they're okay with you homebrew your own special variants to combat rules. If they agree, workshop it out with them. That said, on the one hand it's not really that desirable for a Monk to fill out their Bonus Action with something like this, and I'd expect most DMs to be leery of letting you homebrew in additional ways to get advantage.

As Ace says it's something you need to discuss with your DM, there's a very good chance they'll just say no. Also giving up your Bonus Action to gain advantage doesn't make much sense for a Monk, it means you're giving up an extra unarmed attack (two extra attacks with Flurry of Blows) and in all ways you're just better off making those extra attacks. The chances of hitting with three attacks is better than the chances of hitting once with advantage and those extra attacks will do extra damage that you wouldn't get from the one attack with advantage.