If I can add my opinion into this too
I've played violin since I was 5 years old. I'm 30 years old now, and have made a career in the musical instrument industry.
You have a couple of options for getting into the violin. Of course there is the rental option. You can go to a local music store and inquire about renting an instrument for either a short period of time or on a rent-to-own program. Typically the rental option will get you a little better than the bottom-of-the-line violins you see typically all over Ebay, but not always. Renting your instrument is a good option if you are unsure if you will continue with this instrument. However if you continue with the instrument long term, a rent-to-own will typical have you paying a lot more for the instrument than you could've buying it outright.
Your second option would be to visit a store that sells instruments outright for a considerable savings off of the average Suggested Listed Price. Most manufacturers will sell to a store and give them their "listed price" being the highest price they feel a store should sell this instrument for. Most rent-to-own programs will charge you the listed price + interest fees. Buying outright you typically will get the instrument anywhere from 20-50% off the listed price. Even going this route if you only keep the instrument for 1 year and give up, most likely selling it on your own will get you about where you would've been doing a rental, but if you stick with it you will have saved a significant amount of money.
I know this is a lot to read, but I do this for a living and am very passionate about violins
As far as a "good" violin to start with. Expect to spend between 300-500 for your first violin. A lot of times those violins can last you until you decide to make a more professional career out of the instrument. I'd also say not to be as concerned where the instrument is made nowadays, since even most European and American made violins are actually crafted in China to begin with. As long as a manufacturer can prove they put 40% of the crafting into the instrument, they can say it was made in their country.
I would recommend looking at one of these manufacturers for a violin:
Yamaha AV-5 or AV-7
Johannes Kohr K500 or K515
Samuel Eastman Model 100
I've found these instruments to be very consistant in quality from one to another which is good for a beginner. My personal favorite of these being the Yamaha's which you can purchase for $400 and $600 depending on the store you to go.
Shop around! Everybody wants the best deal possible. Even if you fall in love with a violin at one shop, still see what you can get that same product for from another store. Stores that offer low price gaurantees will typically beat any competitors pricing and save you money!