Not sure how far you will be shooting or what your max range is but that will play a part in what you should do.
I will always check zero to make sure I didn't get a shift in transit but adjusting zero is a different matter depending on your system. Do you use a ballistic calculator? If so many of them will show the change in zero from your site in conditions to your current shooting conditions. This is true assuming you understand how to run your ballistic program correctly!
If that is built into your charts then you will know what the change in conditions will do to your sight in zero.
Some guys just check zero, taking into account the change their program tells them they should have and call it good. The other option is to rezero where you are going to be shooting and changing your zero conditions. There won't be much change at all for your conditions so it will likely be a moot point for your situation but the above is some of the basics.
If your using pre-printed charts with no atmospheric condition change showing from sight in to hunting conditions then I would re-zero at my hunting location, print the chart to match the conditions I think will most closely match what I am going to encounter while hunting and go that route.
Again there will be a very small change to zero but if you have big changes in your atmospheric conditions, not just altitude, but pressure, temp, etc., then you will get enough change at distance to cause a miss. Sometimes a couple charts for different conditions is best.
Hope this Helps