So, I'm working on getting a surgery date for this coming December and it seems like it'll happen. My only concern is my current body shape. I'm not overweight, but I do have some squish that I'm not too worried about getting rid of. Personally, I like have a little padding as it makes me snugglable. I am sort of worried that this little bit of extra weight will negatively impact my surgery results. I'm kinda stocky and I'm not-quite-vegan-but-close. Does anyone have tips in this area?

If you are not overweight and are happy about your current body image, I don't think you need to lose weight. The results should not be negatively affected.
You might want to make sure you are consuming enough proteins and vitamins around your surgery date. But right now, you don't need to change your diet unless you want to do so for other reasons.

I'm all for contentedness, but I'm also an advocate for healthy eating and recognising that being overweight is not a good thing and can impact your health - if not now, then down the line.

I would suggest you find yourself a decent cardio routine and drop some of the "padding".  As SX0877 said, a well-balanced diet is going to benefit you in many ways.  Look at getting a men's multi-vitamin and taking it religiously. 

As far as whether or not being overweight can impact your surgery results - well, yes it can - but it doesn't mean you'll get terrible results automatically.  You may have a risk of actual complications like higher blood pressure, etc. - the results themselves, well I've seen good results from guys here who are oveweight - but I suppose some complications could be dog ears or, later down the line if you decide to drop weight, having some issues with puckering.  But that's all I can think of.  Good luck.