If you have the choice, don't deliver here. Medical treatment here is pretty basic and doctors seem to have little to no idea what they are talking about (even basic stuff). So aside from a factory style hospital environment that would get the job done if nothing goes wrong, you are kinda stuck if something does go wrong and you / baby need serious medical attention.
Would thoroughly recommend staying in Australia or zipping down to Thailand for a couple of months and giving birth there instead. I've seen so many misdiagnosis here that have later caused bigger issues it is ridiculous.
Not wanting to get in the middle of a flame war, but noticed (couldn't help noticing) all the US police clearance issues. Seems that these two links have a pretty good overview of how to go about applying by mail.
The Beijing site lists some local Beijing fingerprinting companies, but I'm sure there are places in Kunming that would provide a similar service. From looking over the FBI site, it seems that they are more concerned that the fingerprints are clear than the authority of who helps you do them. In one section they mention that they can be done at a printing shop as an alternative to the police station.
Some people were concerned that the check is only for 18 and over. Australia is the same and was no issue. I think most countries lock juvenile records when you turn 18.
Also, for any Australians reading, application online was dead easy and took about 3 weeks to arrive in Kunming by mail.
@Alien. Not sure what the situation is with the new visa system, but in the past I have been able to go to the border of Myanmar or Vietnam, get an exit stamp, then come straight back in and get an entry stamp without even entering the other country (I didn't even have paperwork to get into Myanmar!). Another 60 days in country without issue.
I think as a rule of thumb for most countries (for immigration purposes), when you get the exit stamp you have left the country and when you get the entry stamp you have come back in. I doubt that they would be cooperative about it, but theoretically you may be able to go into KM airport, get your stamps and be golden for however long they let you stay on a visit. Just look at how long Snowden was in the Russian airport without paperwork, visas, etc.
Awesome little bakery. Lots of interesting food. For every Australian out there, the meat pies smelled great, though they weren't ready for eating when I went in. Will definitely be back for those soon.