It won’t be easy. The Kurdish region is sandwiched between the Iraqi state, Turkey and Iran. All three states oppose Kurdish independence. The Kurdish military is a factionalized slew of paramilitary groups with mostly light weapons.
For the Kurds, Baghdad may very well be the capital of a foreign country. This is why the Kurdistan Regional Government (KRG) is annoyed that arms shipments to the Peshmerga go through Baghdad. No surprise, the Iraqi government keeps the heaviest weapons for itself.