I've finally put up this blog post on one of my trips to Singapore (before the pandemic). I had stayed at the Bliss Hotel twice and I thought I'll stay in another hotel close by for a change of view.
The Southbridge Hotel is only a short 3-5 minutes walk from Bliss Hotel and MRT station (North East & Downtown line). You can take a shuttle to the hotel from the airport, but I took the train since I have the time before check-in.