We are a family of 3 including a 14mo old walking toddler and Taormina was our first destination directly from California. We therefore planned 5 nights with Claudio so we could adjust to the new time zone and not feel rushed to see everything. First, Claudio organized transportation for us from the Catania airport with an infant car seat. We changed our minds several times about the car seat and then it got lost on the flight and Claudio always answered promptly and our needs were met perfectly. *side note, the driver was very safe which was nice because the roads are very curvy. For the unit, everything was baby proofed and with the exception of a couple steps, it was all one level and the terrace railings were safe and even. Baby roamed the unit freely and we had no safety concerns. Claudio provided a pack and play as well as a high chair, both were in great shape. There were heaters in each bedroom (we only used the bigger two) with lots of blankets. Both helpful items during the winter. The washing machine and dishwasher worked well. showers were nice and hot. Claudio had some converters which were helpful. Grocery store is 5 min away down the hill and I think we went every day. The unit was very central which was nice because we never felt we were "committing" to leave for the day; we could wander back and forth.
Beyond the baby specific notes, the other reviews and the pictures Claudio posted are all very accurate. The views are fantastic! We spent a lot of late mornings lounging in (I mean enjoying) the main bedroom and you seriously don't have to get out of bed to see everything, just open up all the curtains. Even though we were exhausted, we still felt like we were getting a Taormina experience just being in bed.
We visited the last week of February and it was cold with rain maybe two days, but just for a few hours. the rest of the time was sunshine and clear. Not dealing with crowds was amazing though it's the only season construction is allowed and many businesses are closed. If you're interested in traveling with a baby during this time, eating early dinner at restaurants is a challenge, but we found a few. Claudio gave us great instructions to get to the main street which only takes a few minutes. It is a hill with steps but if that's an issue, Taormina is on the side of a hill and you cannot avoid them regardless of where you stay there.
Overall, we were very pleased with our choice to stay at Claudio's unit and for those with young mobile kids, I think it's a great choice.