Frankn
First - regret I have no people leads for you at this time.
I believe there are several loopholes on the purchase of multiple properties - although this topic may be of limited interest. Personally, I'd use a known and recognized attorney with a LONG history for safety - that or local relatives who also own property - but better to use an independent third party - just to ensure you own the property title clear and free (aka with no hidden debts). New residences can be less complicated, both legally, financially, and operationally (aka stronger infrastructures such as plumbing, sewage, electrical, gas, water, etc). Older places - you may find you're tripping the main circuit breaker every time to turn your printer on...and other logistical nightmares - replacing a circuit breaker with a higher load can quickly devolve into an exercise in anger management. Also - older places usually come with inherent gate guards - who tend to shutdown at midnite. Newer mega places usually come with 7/24 access. You do NOT want to be stuck outside your apartment complex on a cold rainy night banging on the main gate trying to get the deep slumbering guard to wake up and let you in, waking everyone in the neighborhood (including the guard across the street) except the guard - although that's what saunas are for.
International law firms, accountants, and real estate firms can assist in the process for a fee - list in order of decreasing cost - just to make sure you've followed the most recent approved procedures as laws still can become more flexible in proportion to distance from beijing (example the recent thread on land seizures in and around Yunnan).
1. Individual purchases - Individuals may purchase multiple properties in different cities or areas. As most police databases are not linked - this is a legal blindspot - buyer beware.
2. Corporate purchases - corporations may purchase multiple dwelling units for employee housing. Consult your attorney.
That said - you may wish to use a local RE firm "experienced" with foreigners - as you may also want them to manage the property while you're absent - example send someone to clean the unit before and after you leave - and maybe while your domiciled here - stock the fridge with groceries if you cook/eat at home - operational considerations, pay utility bills (power, gas, water, internet/phone, etc ad infinitum.
For recommendations on companies who can assist - I suggest you first narrow down the area you want to live in - then the expat community can recommend various RE agents (e.g. my cousin's son with extremely marginal english skills - who specializes in areas around the old airport - its quieter now that air traffic moved to Chenggong - but you have to worry about ground pollution in the area - something the Chinese won't tell you (or more probably don't know about).
For SERIOUS research - in addition to asking the expat blogs - highly suggest you retain a temporary assistant to do this kind of research for you and provide a report - the most English FLUENT students tend to come from the tourism universities - so non-kunming natives aside - look for these kinds of graduates first. They can be a big boon in helping you navigate the various language impeded activities - but remember - many are young and naive - so you'll have to train them on the business side of things - such as preparing a useful report with REFERENCES (example RE agents, attorneys, CPAs)...i.e. you'll need to give them the FORMULA.
Also - remember chinese attorneys are NOT the same as US attorneys - they have different skill levels and rankings of attorneys - buyer beware. Accountants are the same, RE agents DEFINITELY your mileage WILL vary.
Some of the university teachers with modestly skillful english are married or related to such professionals - that can also be quite helpful as a local resource for a variety of reasons - to include expanding your local network - if such things are of interest.
Cheers and good luck.