You're doing great, so just keep doing what you're doing. He can moan & bitch all he likes, but a little moaning never hurt anyone! After all, it'd be impossible for him to starve to death within a week so you can happily ignore it. It's just emotional blackmail to try to get you to do stuff for him.
Wherever possible, I recommend you instruct him by telling him how to do things & supervising what he does, rather than doing anything for him (keep your hands behind your back if that helps). Exchanging chores (as you did with the ironing) can be helpful if you do it strategically, but it can also mean that you're a still doing stuff for him, so it'd be prudent to keep that sort of thing to a minimum