The first thing you need to know is that whilst Hania/Chania is FULL of accommodation of all sorts and I cannot make any comparisons, you cannot go wrong by booking Avva's place. It is huge, comfortable, has character, can accommodate at least 6 very comfortably, is in the centre of the old town yet in a very quiet street, there is a small, attractive terrace where you can sit outdoors under the lemon tree, you can park a hire-car within 2 minutes' walk, and best of all, your hosts are absolutely charming and genuine people.
Avva and her husband are running both the Air bnb accommodation and the neighbouring restaurant, so they are always on-hand, should you have any questions. I thoroughly enjoyed my stay at their former home (they now live in the new town) and would definitely recommend other visitors to Hania/Chania to stay there.