New certificate for old keys
Usually every time when you request a new certificate you also generate a new key pair.
In special situations it can happen that you get a new certificate for an existing key pair. Then it may be difficult to replace the certificate without loosing the private key because most software does not support this situation.
Then you should proceed as follows:
Export your digital ID out of your programs into a PKCS#12 Datei.
Assemble a new PKCS#12 file from the private key and the new certificates.
Of course all file names below are examples—you can freely choose file names.