How (or where) I can set keyboard shortcut to "add new desktop place"
You could use this script then make a shortcut to it in Automator.

In Mavericks, Applescript to create a new Space in Mission Control

delay 0.5 -- time to release command if the script is run with command-R
tell application "System Events"
    key code 126 using control down -- control-up
    delay 1
    do shell script "MouseTools -x 1900 -y 60;sleep 1;MouseTools -leftClickNoRelease;MouseTools -releaseMouse"
    key code 53 -- escape
end tell


source https://stackoverflow.com/a/22873544

Get the MouseTools