The Tokyo part of the trip report is here
Day 6: Arriving at Shin Osaka station, we found a jumbo taxi outside that took us to Swissotel Nankai in Namba for the price of one taxi. We spent the rest of the day walking around Shinsaibashi and Dotonbori. We queued for Takoyaki but surprisingly, it was soft, unlike the takoyaki we have back home. We didn't like it as much, to our disappointment. We had New Year's Eve dinner at the hotel
Day 7: We knew Universal Studios would open at 2 pm so we had a free time after breakfast. I called the front desk asking whether Akachan Honpo in Hommachi opened that day. They did and we went there for another round of baby stuff shopping. We went to Universal Studios and the Wonderland area was amazing! It was a great place for all the children, including the 6 year old who is afraid of thrill rides. Watch out for the roller coaster in the snoopy store though. It was way too fast for little kids! I felt it's almost as fast as Space Mountain! The adults rode Jurassic Park and Back to the Future. We didn't feel like queueing for the Hollywood Dream ride (100 minutes). We had dinner at Yoshinoya at Nishikujo station before returning to the hotel.
Day 8: Kyoto day trip. Planned to leave the hotel at 9 AM but ended up leaving at 10.30 AM. We took the Hankyu train from Umeda. We saw that the Limited Express was very crowded so we took the semi express, which had ample space for our strollers. It took 20 minutes longer and opinions were divided on whether we should've taken the limited express (or even the shinkansen). We stopped at Saiin and took a taxi to Kinkakuji, which was extremely beautiful and wasn't too crowded. Then we took another taxi to Kawaramachi, which was extremely crowded. We spent some time having lunch and shopped at Loft. Then we went to Gion but it was too dark to enjoy. We went back using the Limited Express train.
Day 9: Last full day in Japan. We went to Osaka Castle. The 16 mts toddler, who had just started to walk, loved the park. She could walk and run for a long time without worrying about the crowds or cars. The castle, although a reconstruction, was pretty. We had Ramen and Okonomiyaki from the stands which was good, despite using a frozen luncheon meat for the pork topping in the Ramen. We spent the rest of the day in the Shinsaibashi / Namba Park area.
Day 10: We left the hotel early for our 11 AM flight.