Katong is a great area and very accessible. Great restaurants and close to the beach. Not a Sydney Beach, but being from Sydney you will at least appreciate the air.
If you were to equate it with a Sydney suburb - maybe Balmain or Newtown but with high end condos
and heritage character.
You can work but you will need to apply for permission to do so. DO NOT WORK unless you do.
If you have tertiary qualifications, it is easier - if you do not it is almost impossible. If you can, get an employment pass. If not you can seek approval to work in a specific job but it is dependent on the GOVT.
I do not know how familiar you are the moment with Singapore but there is a labour shortage. GOVT unwilling to issue Employment passes to people but as you are a spouse of someone with an employment pass and therefore already here, you may be luckier.
Take some time out when you get here to.
I am from your neck of the woods both here and there so PM me if you need help