Good job, Strength! See...you can DO THIS! Glad we were able help you out here.
I would not bring up PSA again. Let H bring it up. He'll be busy with moving. Plus it will buy you time talk with your L about what benefits you can gain from a well-constructed PSA. Arm yourself with information from the L so you'll have a good reference point when talking with H to gauge if he's being reasonable or not.
Are you comfortable with the list of items that H wants to take to his apartment? If yes, then I'd suggest that you prepare them and have them ready to go.
See...you can DO THIS! Glad we were able help you out here. 
