Convert and shift voltage from DAC using opamp
Not looking for an exact answer would just like to be pointed in the
  right direction.


If it's an analogue signal that naturally settles at 3.1 volts DC when there is no signal present AND the low frequency components (as in audio below 20 Hz) are unimportant then use a simlpe RC high pass filter to remove the 3.1 volts thus leaving you with 2.8 volts p-p centred at 0 volts. Amplify-up and you're done.

If the 3.1 volt DC level is important then use a couple of resistors to re-centre the signal about 0 volts. One resistor in series with the orignal signal meeting another resistor biasing the output from the - 12 volt rail. The easiest way to implement this is with a potentiometer if you are not up-to the fairly straightforward math (or use a sim tool). Amplify-up to finish.


  what type of non inverting opamp circuit is used to shift the voltage?


Pretty much the standard type with a feedback resistor and resistor to 0 volts. Don't forget 100 nF op-amp power supply rail decouplers.