Lee is exactly right, Bob. Driving is a hassle you don't want AND don't need. Most of the streets you want to take, to get to the ancient sites etc, are No-Car streets/lanes. I stay about 50 yards from AVA ... and that street is such a tight squeeze! You can get there and then get out, and that's IT. DO look at a good map ... do you have a guidebook?
Here is a VERY simplified map; your hotel is #63 -- it is insanely convenient, you are 5-15 minutes walk from almost everything you will want to see.
The TAN streets/lanes are the pedestrianized ones. The Yellow supposedly are open to cars, but most of them are about 10-12 feet wide and one-way, with few markings and of course, no parking available.
When you are ready to go to the airport, you can have your hotel get you a taxi (at a charge of €50 or so)... or hail one yourself (about €35). Or roll your bags about 15 minutes up Amalia avenue (see the red-dotted line) to Syntagma Square. There you can hop the X95 Express Airport bus right on the corner (3.2E) that goes every 20 or 30 minutes 24/7... takes less than 1 hour, outside of rush hour. OR you can catch the Blue Line Metro to thew airport (10€ for a 2-person ticket); takes 45 minutes. Me, I like the bus ... ... no need to take steps or escalators down or up, it's the Last Stop in either direction, so there is no rushing getting on or off. Also, the luggage situatio is easier because the whole central part of the bus is a "luggage Pen". Easy-peasy.