I really like El Palacio a lot. As previously noted, this is run by the people who ran Miriam's which used to be across the street. I went there for some years, occasionally having a delicious lunch in the company of many Spanish speaking locals and sometimes having the rotisserie chicken with my family in the evening. Miriam's closed a few years ago after a fire and El Palacio opened up about a year ago--whenever I've been there, Miriam herself is presiding.
Warning: the rotisserie chicken is only available Friday, Saturday and Sunday. Do NOT show up any other day hoping for chicken because you will only hope.
The grilled meats are wonderful as is the namesake chicken, white beans, stuffed potatoes, tamales, all delicious.
If you bring some Spanish, it can only be helpful--you can order by pointing at pictures if you have difficulty. The service is very friendly, if a little harried when busy. Take the kids on a weekend night and get some chicken and whatever else intrigues you--you'll have fun.
The ensalada de palta (avocado salad) is wonderful!