And would this be a more suitable replacement? It's rail-to-rail and has a greater max supply voltage. Sorry to send so many comments your way.

Great thanks for your help. Is there anything I could do to clarify my intentions? I just want to adjustably amplify the output from my DDS chips.

So just to clarify, are you saying that the circuit show in the schematic of my question is fine, it's just the opamp I'm using is inappropriate? And I don't need a split +12V -12V supply? The output bias is fine as long as it really means the output will go from 0.37V to 6.45V at a gain of 10.

Could you also help me understand where the bias is coming from using the digipot?

I've found this part. It's rail-to-rail and I think it meets my other requirements. Do I also need to fix the issue with the lack of a virtual ground someone mentioned in the comments? Or should I use a split supply?

@Kartman If my input to the amplifier never goes below 0V would that be an issue? Wouldn't the 12V/2 virtual earth turn my 0-0.6V input into 12V/2-gain*0.6V?

@Kartman Would just using a split supply with the -12V instead of ground to the opamp work?

@Kartman I was not aware that was a thing. After some reading I believe that means I need to replace the ground on my pot with 12V/2?

J1 and J2 are STD_LOGIC typed but you're trying to assign them vectors. Did you mean to use STD_LOGIC_VECTOR?

Those SDA and SCL pins are for the I2C bus, which is a multi-slave bus. There won't be a problem in connecting multiple sensors assuming they have different addresses.