I highly recommend staying at Lili's apartments. Before I came I was a bit concerned how I'll get around Chania since I didn't rent a car. The location turned out to be great - two supermarkets just across the street, closest sand beach was 5min walk and busses to Chania town centre stop right in front the apartments, with busses going every 10-15 min. I also walked to the town centre couple of times. It's really not that far away on foot. Took me about 25 min.
Overall I was super satisfied. The place is spotless clean and the host was very hospitable and thoughtfull. She even provided umbrellas for the guests staying in the apartments when the weather got a bit rainy. Highly recommend!