In Developer, select the package you want to export. Select File | Export to save the package to your laptop.
Copy the zip file to the replicate/inbound directory of your local IS. Use IS Administrator to import and activate it. Use Developer to connect to your local IS and edit away.
When ready to move the package back to the work IS (I assume you do not have file level access to the IS server nor IS Administrator?) use Developer to connect to both your local IS and your work IS at the same time. On your work IS, use Developer to delete the package. Then in Developer select the package on your local IS. Select Edit | Copy from the menu (or press Ctrl+C). Then select your work IS and select Edit | Paste (or press Ctrl+V). That will copy the package–assuming you have the proper privileges to do so.
Follow the same copy/paste steps if you want to mess with just services instead of the complete package. Pretty basic stuff…