I don't get why people actually want to keep those door chimes. Maybe if you have kids that could freak you out, but I prefer to not have those annoying sounds. You can always add the module later if you really want that noise.
Bluetooth has pretty much been a standard feature for a long time. You have to go ridiculously cheap or really old and out of your way to find a double din that doesn't have Bluetooth. If you are not concerned with GPS, you can find a double din (if you just want one that size, but will have the same features as a single Din with a screen) for $100-$300. Dual and Boss are some of the cheapest brands you can find. You can probably find one for $100, and even less if you are that tight, and don't care about other features. JVC is a hair up, then you have the big companies.
You will need a mount, ($10), A harness for your brand ($10). An adapter for your steering wheel controls, IIRC is about $70-$80, but you can always add it later and listen without it for the time being.
What is your budget?
What about the rest of your system? stock or ? Do you have amps, subs, aftermarket speakers? or do you want to?
What are your end goals?
Just going off being on a tight budget, I hope you are doing the install yourself, or there goes your budget. The install is very easy on these vehicles and there are youtube vids too. Id suggest starting with crutchfield.com . They usually have sales, (and if you can be patient, the next best one should be Memorial day, in about a month). If you need it, Crutchfield offers support for 3 months on everything they sell, and I think they price match. They will include the harness, the mount, wiring instructions, and even some other stuff to help for free.
Other than them, you might want to take a quick look at your craigslist, or offerup. You should be able to find what you want used well within budget, and might even be able to get more as a package deal with subs, amps, or speakers. They might be willing to help with your install (so you can test if before you buy). It really doesn't take long at all after you do it once or twice.