If all are SATA drives you can use them in your new system. If one of those is too old 10+ years it may be an IDE drive, that won't work on your current system. One easy way to find out if all are SATA drives is to look at the connector/cables. If all are using the same cables or have the same plug type they should be SATA, since you said that one of your drives is 3-4 years old and it should be a SATA drive.
You can still transfer the files before formatting them. In fact you only need to format the OS drive because you don't want that drive to sort of "conflict" with the newer OS drive. In some systems plugging in an older OS drive, may change the boot order in the BIOS. The system will boot from the older drive and strange things...