Both Safari and Firefox do a nice job explaining the steps how moving your bookmarks. You can even use the directions linked below to export these bookmarks right to Chrome and then save yourself a step and not have to import them when you get your new device. For instructions from Firefox, go to here. For instructions for Safari go this link.
If you are a Chrome user, which means you set up a profile in Chrome. Your bookmarks sync from device to device so there is no need to export bookmarks.
Directions on how to set up a Chrome profile can be found here. And are copied below.