Andrei's apartment is really lovely - we stayed there with our (almost) 2 year old daughter, and we had a great time.
The property itself is nicely decorated and clean, really well stocked with essentials for cooking etc, plus toiletries in the bathroom. It was plenty spacious for the three of us, and there's definitely room if you have a larger party.
Note, there are quite a few stairs/steps throughout the apartment, and a balcony - so just be careful of you have very young children with you.
The area is great too - lots going on, with plenty of bars, restaurant and cafes just on the doorstep. you're also very close to the beach.
Communication with our hosts was great too, and their friend who let us in to the property was very helpful and polite too.
overall, I'd highly recommend Andrei's apartment for anyone wishing to stay in a lively, fun but family friendly area of the city.