Combine heavy cream, half and half, sugar, and vanilla in a medium sized mixing bowl.
Slowly mix until sugar has dissolved completely.
Pour milk mixture into ice cream maker.
Freeze according to manufacturer's instructions.
Spoon ice cream into a large mixing bowl.
Fold in chopped cookies.
Place ice cream in freezer safe container and freeze until firm.
Notes
Double stuffed Oreo's are the best to make this ice cream with but regular will work just fine.
Do not try to beat the milk mixture. Mix it slowly until the sugar dissolves.
The ice cream should be the consistency of soft serve before adding Oreo's.
Doing this in a separate bowl than the ice cream machine is the best way to fully incorporate the chunks without breaking them or the ice cream machine.
Transferring the ice cream to an ice cream container will be the best way to keep this ice cream for long periods of time.