OP, I lived in a Hyatt House for three months--with a one month break to travel. My last stay was 60 nights. When I got back to begin it, I was at 58 nights. When I checked out, it took about a day and a half, and then massive emails came in. At 118 nights now, I had so many rewards I was losing track. Do not delay in clicking on each one. They remain in your account, but click on them and redeem. I had not even redeemed my choice from my last one yet. But yes, you get them all, and in a week or so, your My Hyatt Concierge email will arrive.