A pH of 7.6 isnt really high, mine is somewhere around 7.5. I wouldnt worry about it. Just aclimate new fish properly, as you would any new fish into your system.
The higher pH could be caused by several things. It could be calcium from any rocks or the substrate. The natural processes of your plants absorbing CO2
and nitrates will increase your pH.
I really wouldn't worry about it.
Edit: Just reread your post. You say it is greater than 7.6. I would get a high pH test done and see where you are. pH in aquariums generally lower over time, and addition of driftwood or Indian almond leaves in the tank are natural ways to lower pH. If you are significantly above 7.5 you might have an issue with plants.