An exemplary package-sealing method and system involves sealing a package with adhesive tape such that a pull cord is sandwiched between the tape and the package. A tape head includes a roll of tape and a pull cord spool, and a collar guide that helps position the pull cord between the tape's sides. Forward and rear applying rollers press leading and trailing edges of the tape, respectively, against the package being sealed. A tape blade and a pull cord blade secured to a cutting arm sever the pull cord before severing the tape, leaving a pull tab that extends out from beneath the tape when the package is sealed. The pull tab allows a user to conveniently unseal the package by grasping the pull cord and pulling thereon to separate the tape from the package without using sharp objects, enhancing user safety and reducing accidental damage to packages.