You either need to have your current company transfer you there (and they must have a presence in Singapore before that can happen) or your husband needs to be able to find employment with a company that is registered here. Otherwise, I afraid you are limited to a bog standard tourist visa (as your are British you will be allow a 90 days stay. It might be able to be extended for a month but after that, you will have to leave the country for at least a week or better a month. IF you manage to stay here for 183 days, then you will not be allow to return to Singapore until a minimum of 6 months have elapsed (this is variable and could be up to one year - like immigration officers, they are doGs with almost unlimited capabilities and hot & cold temperaments. Having said that, Singapore is expensive and you cannot rent a flat here on a tourist visa as you visa has to be for at least 6 months duration 'at the time of leasing the flat'. This means either hotels or full
Service Apartments (which like hotels here, are rather expensive). Singapore is a small, a bit overcrowded, Island and therefore pretty strict on immigration matters. It's difficult to find a position from overseas and yes, the recommended method is to have a foreign employer transfer an employee to the Singapore office. Any other way will get expensive rapidly and may well not be fruitful at the end of it all. Good Luck. Try to establish a network in linkedIn, this is probably the best method.