Use Imgburn to make iso files of the discs.
Keep them in a convenient folder on laptop main drive.
(keeping there means your backup strategy will make sure they are not lost)
Your new laptop will be W8/8.1 or W10, so you can right-click an iso file and Open with Windows Explorer. Then just double-click the setup.exe to run the file from your HDD.
If you want a USB drive to use on another computer, copy the contents of each disc to a folder on it (View Hidden and System Files must be enabled).
However, if the CD/DVD is a bootable one and you want to boot from it, it needs to be 'burnt' to a USB Flash drive.
Use Rufus to do that.
If you want to put several bootable discs/isos on one USB Flash drive, see Yumi et al
Although useful, that's a bit of a hassle because there's always one or two that don't work.