If you mean Yuxi City, that is a long way from Fuxian Lake (which is in Yuxi county).
One way to book hotels, cheaper than Ctrip, is to put a city in GoogleMaps, and then when the map is focused on that areasearch hotels. It will show locations and give you online booking prices, but you can also get the phone number of the hotel and phone direct. Negotiating direct can often get you a much better price, exceptions in high season and popular tourist destinations.

Does anyone know the approximate cost of a genuine screen fitted from Apple service center? iPhone 6

I think that is a chain. You will have similar training and levels of professionalism, IF there is good franchiser control. However, I imagine they have only styled Asian hair types. They will probably be under more pressure to up sell you a perm, or colouring that will be more expensive and that you might not want.

Industry standard for most chains of hair salons in China is that they will also offer big discounts IF you pay several thousand upfront for a discount card, and this is the HARD sell. If you are tempted by the pre-pay card, check the small print, ask for full details. You may find you have to pay for an overpriced cut to qualify, and you might only be able to use it in that branch, and the price of a hair-do could be several times the price of a regular salon.

I would have thought that the first port of call for information would be the Chinese Consulate in LA. They are issuing the visa and they can tell you exactly what THEY want. Anything else is speculation.

In the unlikely event that you are told you need a medical, after you get to Kunming, then there is an official clinic for entry/exit medicals www.gokunming.com/[...] The clinic is about 15 mins walk from the nearest subway station. If you get the health check done at this official clinic, then nobody will question it. I think it cost CNY480 for the full set of required tests. It takes about an hour (they only test mornings), and three days later I collected the report (issuing in afternoons only).

You could also try the Boloni flagship store on XiYuan Lu. That is where we got ours. But it won't be cheap, and it won't be free standing.
If you want a cheap freestanding oven, then they sell a few different brands/sizes in Metro. These are much cheaper, but you don't get thermal insulation or a double layer glass door. The cheap ones work fine, but you will need to buy an oven thermometer (about 20-30 rmb, online) as thermostats are not that accurate.