I know they're both trans problems, but is this a do it yourself kinda thing or does it need to go back to the shop?

 

P0700 is the code which symbolizes a trans issue thats illuminates the cels, which is normally cause by your other cel codes.
The P0760 code refers to the OD Solenoid Circuit, if you look through the service manual it exhibits all the possible causes and the diagnostics for each trans... a quick possible fix/test maybe a reset by a battery cable pull to see if it comes back. It may have been a fluke or it could been a true issue.

 

I got it once, cleared the code and it never came back. My truck was on her period that day I think ....