Hi @Falke5000, I’ve been to Singapore 2006 - 2009 and later had a distance relationship CH-SIN 2011 - 2013 and a close Swiss friend who lived there with a family 2017-2020, so I have kept in touch with the situation.
I’ve had a great time in Singapore, as I was single and as the Ang Moos (white-faced European people) were still appreciated back then. Going there as a young family will have its challenges for the non-working spouse. As there are lots of like-minded expats, your wife might find a social life there while you will be busy at work. I separated and later divorced from my wife as a result of going to Singapore on the short-term contract, so be aware of your personal motivation to go there 
I was there first on a short-term contract, then on an expat contract. STC was a sweet deal with Swiss salary, paid accommodation and a per-diem that paid for all weekend trips to neighboring countries. The expat contract kept me within the Swiss social security system and paid a generous housing allowance while deducting hypothetical Swiss tax and Swiss housing from my salary. I never went abroad for financial reasons but when comparing hypothetical Swiss tax as calculated by HR with the taxes I had paid in canton Zurich, I felt that staying in Switzerland would have been more beneficial financially. But with a non-working spouse and a kid, Singapore taxes should be relatively mild.
These days, the local++ package is the most frequent offer. You get paid a local salary but pension fund and social security contributions continue in the swiss system. Sometimes a housing allowance is part of the deal. If you are offered a local salary only, then use your knowledge about high rental prices and lack of pension fund contributions in Singapore to negotiate a better salary to make up for the difference.
If you are a person who likes liberty and self-reliance, Singapore might not be for you as it is a country run like a company. Civil rights are less than in Switzerland, free speech is not allowed, fines are everywhere and in your face.
I found the quality of live okay, but I love hiking and the outdoors. I could not really appreciate local culture of spending weekends in malls, living in fear of traveling to a neighboring country and relying on underpaid maids for everything. What I really appreciated was the food culture, the easy access to exotic holiday destinations, the comparably high salary, the direct flights to Switzerland. Wine and cheese were expensive, which is my standard staple in Switzerland. Singapore is ofter referred to as “Asia 101”, so easily accessible from a cultural and living standards point of view.
