Do not travel while your application is pending either for the work permit or for advance parole. You also cannot apply for advanced parole together with your DACA application Form I-821D (other applicants for work permits are typically allowed to do so). You will first need to be approved for deferred action and only then will you be able to apply for reentry into the United States.
If you are not familiar with the advance parole application system, briefly, you will complete USCIS form I-131, submit a fee of $360, and then just wait for the approval documents to arrive in the mail. While there will not be a stamp in your passport, with these documents you will be able to board a plane headed for the United States by showing them at the check-in counter and to the immigration agents at the point of departure. You will also show these documents to a US Border Patrol agent upon entry at the airport or on land.