@SergioF
If you can connect the SSD to the PC with the HHD, then see if you can CLONE to the SSD following the instructions below:
1) Download and install Macrium Reflect (MR) from here: https://www.macrium.com/reflectfree
2) Connect the new drive to the PC using a USB-to-SSD drive adapter (like the one illustrated below)
3) Follow the instructions in this link: http://knowledgebase.macrium.com/display/KNOW/Cloning+a+disk
4) Shutdown the PC when done
5) Swap the drives and reboot the PC.
NOTE: To do this easily, the SDD has to be the same capacity as the HDD. IF you get an SDD that is a lot smaller, then before you do the cloning, you have to shrink the largest partition on the HDD (usually the OS partition), to the size such that it, and the other partitions, fit easily on the SSD.
You should boot from the new drive without any problems.
I am a volunteer and I do not work for, nor represent, HP