@Kai Winters Here is the
section of the FAQ that explains how to move libraries between computers. Before moving your library I would suggest running
Library maintenance - Check Library (drop down menu from library icon) and when asked, say Yes to checking your library for mismatched data and fixing any issues it reports. Then run it again after you have successfully moved the library.
Most likely you will have to install your plugins again. Keep your existing library setup so you can refer to the settings in case you need to jog your memory of the settings for any installed plugins.
Good Luck and enjoy your new computer.