Carlos was great. This apartment is within walking distance of the center. Where you want to go in the center would depend on the amount of walking time it takes to get there. There is a lot of history here.
There are several streets blocked off from traffic which makes it more peaceful. Down the street, you will find what I call restaurant row. Many indoor/outdoor restaurants/bars with some gift shops, OXXO, and a pharmacy close by. Walking further you can go on endless streets with shops of all means. I recommend this place for singles or couples. It is larger than it looks in the pictures. I liked it so much I extended my stay for a week. You can also look up free tours of Mexico City on the internet. The free 5-6 hour walking tour of Historical Mexico City was well worth a good tip.