PL is more common than DPL, making DPL harder for someone to "break into" your conversation. What does this mean?
PL and DPL don't add any sort of privacy--all they do is prevent you from hearing anything else on the frequency besides radios with matching PL/DPL. This can be good or bad--it prevents you from hearing electronic noise like HDMI cables or LED lamps, but it can also prevent you from hearing legitimate users on the frequency and cause you to "walk" on them--which may be illegal depending on your frequency (not sure if part 95 requires that monitor before transmit like part 90 does).
If you're not worried about someone else hearing you, but you don't want to hear someone else (in case you're dealing with a jammer or something along the like, or simply want "quiet" radios the majority of the time) I suggest choosing a DPL code. The TX and RX codes will have to be the same unless you have a repeater to translate it (bharvey2's suggestion requires a repeater to translate the DPL into PL etc). You can only use one method of tone squelch (DPL or PL) at a time. Most of the time, a party trying to mess with you will simply scroll through the PL tones trying to get a match. Most don't even know what DPL is much less how to access it.