Hi, u dont really need a tub since baby is still 2 mth. But if u want to get a portable tub its available online (not neccessary though) You need to innovate. Just sit in the tub( mbs bathtub) and hold ( craddle) ur baby and bathe ur baby.
Usually all hotels will sanitize their rooms but you can bring ur own too.
You can request for a baby cot. If u dont have a smaller sterilizer then u need to Boil hot water and soak bottles with hot water use the sink.
You can put the washing liquid in a travelling container.
https://motherswork.com.sg/products/doomoo-easy-bath-floating-bath-mattress?variant=32010639802426¤cy=SGD&utm_medium=product_sync&utm_source=google&utm_content=sag_organic&utm_campaign=sag_organic&gclid=CjwKCAiAiKuOBhBQEiwAId_sKw5z9jYAaqaBiuvnpFCvwM0kJnZAVPOmbths8_GmmspdWVGYgQOTQBoCJQcQAvD_BwE
https://s.lazada.sg/s.Zzm6s