GotADimple: I thought I had the banking thing figured out. I opened an HSBC Expat account. But then found out it is useless in France. I am trying to open an HSBC France account with great frustration. I might just do what FIREd did and open a US HSBC account and go through that account to get one in France.
Renting an apartment as a US citizen, especially without French permanent residency (i.e. only on a one year visa), may be extremely challenging. A few thoughts:
You absolutely will have to have a bank account, and this is difficult if you do not have a university or work affiliation. Fortunately, French law requires it, and if you are rejected at two banks, you can write to the federal government and they will force a bank to give you an account. Unfortunately, that account may still be relatively useless (limits on deposits, often no debit card, etc.). It may be possible to open an on-line account at a major EU based bank with French branches (e.g. like the afore-mentioned HSBC), and then use that as a previous French bank to transfer to a physical location; nonetheless, the local bank manager will say yes or no. Nice and Aix are the only two places in Provence-Alpes-Cote d'Azure that have many US expats (something like 95% in all of France are in the Paris area), so you may be able to find a banker who will accept this type of transfer. Note that it is literally the local bank manager who makes that decision to accept or deny your account, and there is no higher level recourse (except the federal government).
You will almost certainly not be able to rent an unfurnished apartment (and will not want to, because there is little point in immediately buying furniture or the cost/time for shipping), as the landlord is required to let it for a minimum of 3 years. Furnished apartments are a minimum 1 year let, but it may take time to find one, and your 1 year visa could expire - which means most rental agencies may not let to you (really, it's just an excuse because the paperwork is a bit harder). Private landlords, or agencies that cater to expats would be your best bet, and again Nice has some benefits over smaller towns in that region. I would recommend planning on an AirBnB type rental for at least a month, and it could easily be longer.
For shipping, pay for a couple of extra bags on your flight, or have someone ship to you via FedEx - don't waste the money or 12 weeks of time for partial container shipping. Note that receiving packages may not be trivial depending on the residence; an apartment complex with a guarded desk will often be delivered to, a house might or might not, but a locked/RFID type entrance apartment will not be delivered to. Smaller packages less than 20lbs or so could go to a local business that acts as an agent for the delivery company, but you might need to go to the airport (I think for FedEx in Nice?) to get any very large or heavy packages.
The financial (and residency) bureaucracy can be astonishingly byzantine if you are primarily used to the US system. Bonne chance !