If you must purchase jugs of water get distilled. Purified is usually just RO, not RO/DI and in most cases is remineralized or TDS is added back in for human taste.
In order RO/DI would be the most pure, distilled is a very close second if the still is serviced regularly and RO only is third since a membrane is only 90-98% effective without the added DI step. RO Drinking Water or "Purified" water again is usually remineralized so it tastes good and is refreshing so should be avoided, especially if it is from vending machines.