Welcome to Kansas City! You've checked out some good places so far. I agree with others that Gates can be really hit or miss. Over not too far from 403 is Slaps BBQ. They run out of food so go for lunch and get the ribs. I live out close to Pizza West/Knubs. If you have a car and don't mind a 30 minute drive they have a great pin lineup between the two places, which are in the same strip mall. They also have pretty good food. I've been going to Pizza West to play Ghostbusters a decent amount lately to survive until my Premium arrives.
Let us know if you have any other city-related questions. Happy to help.