Clark and I visited Sawmill Market soon after we moved to Albuquerque and really enjoyed it! It is sort of like a trendy European-style indoor/outdoor food hall with a bunch of different counter-service restaurants to choose from. Here you'll find Greek, Mexican, Italian, and Asian food all in one place. And it is right across the street from Hotel Albuquerque!
Clark and I visited Old Town on our first trip to ABQ and have since gone back several times. It is basically the historical district in Albuquerque, containing cute shops, local authentic New Mexican restaurants, an official "Breaking Bad" store/museum, and souvenir stores. Definitely worth a visit, and it is right next to Hotel Albuquerque!