This is great for the kiddos! Also, check syracuse.com for any festivals or happenings downtown!
If you need to shop or pick something up last minute, you should be able to find it at Destiny! Also, lots of things to do for kids if it's raining! This is also very close to downtown and there is an Embassy Suites attached to it as another rec for place to stay!
All out-of-towners love a trip to WEGMANS! This is the closest one to our house, but feel free to google some of the other locations as well!