Well, the notebook in question is equipped with a 2.5" SATA-2 hard disk as standard. Replacing it with an SSD should therefore be possible without any problems. Bear in mind that the recovery partition from HP is also located on the (previous) hard disk. The only disadvantage is that the maximum speed cannot be achieved with SATA 2.0, as the SSD would need SATA-3 for this. Nevertheless, the SSD will bring a massive speed boost. Whether this upgrade is worth it for a 6-year-old laptop is something everyone has to decide for themselves...

The easiest way is probably to connect both the old HDD and the SSD to one computer and then mirror the HDD using Samsung Data Migration software. This method is, as I said, the easiest, but not the cleanest and requires a desktop PC.
The best thing would be to completely reinstall the entire system directly onto the SSD. If Win 10 was already installed on it, this is very easy as the Windows key is already registered on the device. If Win 8.1 or older was installed on it, the key must be read out before the change to the SSD (or it is on the bottom of the laptop/power supply) in order to have it ready for the new installation.