Singapore + Bali itinerary with 9-month-old baby – need advice

Hi everyone,

We are planning our first international trip with our 9-month-old baby from Dubai in late august - early September.

We are considering this itinerary:
Singapore (3 nights)
Day 1: Arrival + Night Safari
Day 2: City tour, Singapore Flyer, Gardens by the Bay, Sentosa Cable Car + Wings of Time
Day 3: Universal Studios
Bali (5 nights)
Day 4: Fly to Bali, stay in Ubud
Day 5: Ubud sightseeing (Bali Swing, Tegalalang Rice Terrace, Ubud Palace, Monkey Forest, Kintamani Volcano)
Day 6: Tegenungan Waterfall + Goa Gajah + transfer to Nusa Dua
Day 7: Tanah Lot sunset tour
Day 8: Departure

Since we are travelling with a 9-month-old, I would love advice from parents or anyone who has visited:

- Is this itinerary too rushed with a baby?
- Which attractions would you skip or replace?
- How is the weather in this period (rain/heat)?
- Is Ubud + Nusa Dua a good combination with an infant?

Any suggestions for making this trip more comfortable and baby-friendly would be appreciated. Thank you!