I recommend having Park LLC collect lot rent and pay for park expenses, Homes LLC collect home rent and pay for homes expense, and you probably don't need management LLC but if you decide you want it, each of Park and Homes LLC can pay management fee (5% of gross?) for management and you can pay yourself out of that.
You'll need to bifurcate the home rental leases (one lease for home rent, another for lot rent).
The reason for keeping it separate is to keep the lower risk high value park assets separate from the high risk low value homes assets (tenant lawsuits, etc).
If you reject this, then it probably doesn't matter if the park collects the home rent and forwards to Homes LLC or vice versa. But I wouldn't go through another layer of management LLC.