This is where we stayed:
http://www.theroosevelthotel.com/#gref
If I stayed for a week though I think I'd go for a larger room than we had. Was fine for us for a few days as we were out doing stuff all the time save getting back to sleep but for a week, I'd probably want somewhere with a little more space. It was the hotel used at the end of Maid in Manhattan.
Save a day doing the bus tours, we walked most places, only took the subway once, which was a bit on an experience! It was back when I could walk ok but we saw so much by just walking. We walked from around Time Square down Fifth Avenue and all the way down to the Staten Island Ferry, a very long walk but we went through all kinds of districts like Grenwich Village, Little Italy, China Town, Wall Street etc... It included paying our respects at the World Trade Centre site.
Shopping wise, Bloomingdales is nice but I found Macys very ordinary, more like Debenhams. I ended up in Starbucks while I left my ex to it as it was Labour Day sale weekend and he was looking for bargain jeans. I'm not a bit shopper though.
We went for a horse and carriage ride in Central Park which was nice.