You would likely be eligible for a conditional discharge to avoid jail if you are truly a first time offender. However, between fines, loss of license and a possible criminal record you should not take it lightly. Hire a good defense attorney to fight the charge asap.
You should choose an attorney who you feel comfortable with who has experience handling DUIs in NJ. You should ask if they have had success handling DUIs. A lawyer who handles only DUIs is a rarity. They may have more expertise but at a higher fee. Local attorneys versus non local does not make much difference when it comes to a DUI. It depends on your facts and whether the stop of your vehicle and the alcotest (breath test) can be successfully challenged.
I'm not sure what you mean by "appeal against the judgment" if you have not even been convicted of these DUIs yet. In any event, you should hire a defense attorney with experience in DUIs asap to fight the charges.