Try this if booleans are not your thing.

then you are going to get a decent looking hole into your geo. Try it by:

• Duplicate the button geometry
• Perform a boolean subtract (select the main geo and then select the button)
• Select all the edges of the top most edge loop and perform a bevel operation and ammend the setting in the channel box to your liking.

This only covers one button, but to perform this on all 11 or so buttons, duplicate the button until you have the required amount and then place them in the required position. Combine them into one (Polygon > Combine or Mesh > Combine) piece of Geo and follow the above steps.

Good Luck.