If you hate traffic, I would not move to that apartment complex. Considering traffic, it is not close to DC or to Old Town Alexandria. It is next to one of the worse traffic stretches in Northern Virginia - that stretch of Beltway (I-495) between I-395 and the Potomac River. Like others have said, you would have to drive or take a bus to the Metro, and then it’s still quite a trip to DC. It is also in an ugly older suburban area with strip malls - NOT the “heart of the action” like the web site says. The web site is misleading, IMO - some of the photos of the riverfront view of Old Town Alexandria, and the wooded canal towpath trail with people jogging are NOT close to this place.
I have lived in the Arlington/Alexandria area for the past few years and I can recommend this apartment complex in the “Landmark” area of Alexandria, which is where a good friend of mine lives. It is closer to the city and to Old Town, and also affordable, within the $1,200 range you want.
Also I recently lived in a neighborhood called Parkfairfax in Alexandria. You can see some photos I took here - click on a photo and you will see the location on a map. I loved living here! It is a condo neighborhood, so you have to find a private owner to rent to you. Just look up “Parkfairfax” on craigslist. They’re apartments, but look like houses/townhouses, have yards and trees, and don’t have that apartment complex/high-rise feeling. They have three pools and a workout room. It is also like a 3-minute walk to a great restaurant/nightlife area called Shirlington. There is a bus stop on every corner, and you can take a bus to the nearby Pentagon or Pentagon City Metro stop, from which is a very short trip to DC.
Before that, I lived in the Fairlington neighborhood of Arlington, which is literally right across the street from Parkfairfax. Again, it is private condos you can rent, but just look it up on craigslist. This place was also gorgeous.
I know the general area pretty well, so if you’re looking at any other places, just post here and I will let you know what I know about the area. Good luck!