After proper storage of your new Addgene kit you may wish to purify the plasmid DNA out of the bacteria. Addgene has provided an example of a manual miniprep protocol for isolating plasmid DNA from an overnight liquid culture.
Inoculate an Overnight Liquid Culture - using a liquid culture will allow you to grow enough bacteria for plasmid DNA purification.
Isolate Your Plasmid DNA - many companies sell miniprep or maxiprep kits for easy plasmid isolation. Addgene also provides a protocol for plasmid purification without a kit.