Moving To Singapore is 6500 SGD a good salary?

Keep in mind that Singapore is one of the most expensive places on earth.
The average Singapore household, which happens to be a family of three, too, has an income of around S$10000/month. With just S$6500/month, you will be substantially lower.
Also, you will have some expenses that locals do not have: First of all there is rent of S$2500-4000/month (most Singaporeans live in government-subsidized HDB-flats) and school fees of S$1500-3000/month at private schools (local schools are almost free for citizens and S$500/month for foreigners, but it is almost impossible to get a place for your child).
It is possible to survive on this income if you are frugal, but you will not have any luxuries like car, maid, holiday trips, etc. - and forget about savings!