1. Choosing the Xeon processors:
According to Dell Motherboard list --->
http://www.delidded.com/lga-771-to-775-adapter/3/#dell, Dell Optiplex 780 won't work with 5xxx Xeons (It has Q45 chipset).
So my advice would be to go for either X3363 or X3323.
The Dell Optiplex 380, on the other hand, can work with 5xxx Xeons so I would suggest either E5450 or E5440. I would stay with C0 steppings to play it safe. (SLANQ is C0 stepping for E5450 and SLANS is C0 stepping for E5440.)
2. Obtaining the adapters:
I can't post ebay links, but there is list of ebay sellers that can be found under #2 of this link -->
http://www.delidded.com/lga-771-to-775-adapter/
3. Obtain proper installation tools:
I suggest an X-acto knife and a set of fine pointed tweezers.
You will use the tweezers to help guide the adapter sticker into proper position on the CPU. The X-acto knife is used for making a cut into both of the plastic tabs in the motherboard socket. Then the tweezers and used once again for pulling and separating the tabs out of the socket area.
4. Install CPU:
Once the adapter sticker is installed on the cpu and the two plastic tabs have been cut out of the socket you will be ready to install the cpu into the socket of the motherboard. The Dell manual, available online, is a great resource for installation steps (eg, removing and reinstalling Dell Specific heatsink fan assembly, etc).
5. Boot Desktop:
If you are lucky like me it will just boot up on the first try and the motherboard BIOS will recognize the processor as a Xeon quad core. However, in some cases, the BIOS may need to be updated.
P.S. Let us know how things worked out and what processors and stepping you used.