This was such a fantastic place to stay! Beautifully updated old building: wooden staircase, hardwood floor, high windows, great AC (that was so welcome!) and that beautiful view of the Capitol building from the front windows. Also it's on a quiet side street so you won't be woken up by partiers but it's not far to get to great food and interesting things to do. The shower gets hot fast, everything is clean, the beds (a queen and two twins) are comfy, the wifi is reliable, the TV is at the foot of the biggest bed, and you will be happy to come "home" after a day of adventuring. (We enjoyed listening to Joe Satriani on cassette after a busy one!) Just remember this is on the 2nd floor and note there is a little slope walking up from Congress so if you have mobility issues it may be a bit harder for you to negotiate. We are not super sociable but Raquel and Jacob responded to our questions electronically very quickly so we felt well looked after, and the apartment had everything we might want (including emergency care info and shampoo and soap in the shower!) so we appreciated their attention to detail.
For breakfast, blow by Starbucks and instead go to Cafe Aragona on Congress, just around the corner to the south, for fantastic sandwiches, quiche, pastries and coffee (also good for lunch!) or pick up some breakfast tacos from Royal Blue Grocery a little further down (or get some hard boiled eggs, cut fruit, and bread etc to bring back to have in the little fridge if you don't like being up and about before you've eaten). Try a bowl of the venison, white pork, or Texas red chili at the Texas Chili Parlor on Lavaca and 14th or fabulous "modern" Indian food at The Clay Pot if you've somehow managed to have enough BBQ. Make sure you spend at least one evening trolling up and down 6th St east of Congress -- it won't take you long to walk there or back if you want to. And stay hydrated: it gets HOT and it's so humid you won't sweat well.
If you take the bus from the airport (#20 Capital Metro, every 15 mins, $1.25 each): it goes up Lavaca -- get off at 12th and walk a couple short blocks downhill instead of 8th and hiking up. Return ride is on Guadalupe.
In sum: comfortable and attractive place to stay with nice things around and very convenient transportation. Highly recommended. We definitely will look to stay here again next time we're in Austin.