Re: How would you define 'nagging'?
I'm big on boundaries in a marriage. Send him an email listing all of the chores that need to be done on a daily, weekly, biweekly, and monthly basis and ask him which half he'd like to take (assuming you both work full-time). As a SAHM, I do more domestic chores but I also have it down to how many hours they take and if I'm unable to fit them into the day (on top of my hobby job, caring for my children, and sports practice shuttling), then I let my husband know we need to make time for it together or hire help.
Once he agrees which half or 1/3 or whatever is workable with the hours you both have, don't do those chores. Give it a few weeks. If they aren't getting done by him, send him another email with referrals and price quotes for hiring it out.
It's only nagging if you're constantly on someone's back, just like it's only passive aggressive behavior if he agrees to do the chores and then doesn't follow through.
It may be he just doesn't know how much actually needs to be done.