Gracez a 60 day tourist visa is a lot different than the tourist visas you get when you arrive, not only do you get an extra 30 days but there is the possibility to either extend it or have it turned into a social visa when you get here. Meaning you won't have to go to Singapore to get a Social Visa. Trust me Visa runs to Singapore are a pain in the ass and can be costly if you don't know anyone there you can stay with.
As far as jobs go it all depends on what your skills are, I would suggest you come here first, see if you actually like living here and then test the water.
If you're looking at living in Ubud take a look at this thread.
Living and security qs about UBUD!
Theres also a Facebook page called Bali Rooms for Rent you can look at also, plenty of places on there.