Our family (me, my husband and our 2y.o. daughter) loved very much our stay ay Ugur's appartments. This has everything you need when travelling with a baby, and it's very cosy and stylish. Espesially little private garden and rooftop terrasse with a view over Bosphofus, where you can have a cup of tea after whole day of walking. Promenade, Blue Mosque and Hagia Sofia are in close proximity, as well as shopping arcade. Just bear in mind, in case you're with a small baby, this part of Istanbul is not very suitable for stroller :)