Hey @YanivG 
If Monday Projects Product and Core Monday Product are two different workspaces in your account, then you can absolutely move the boards over!
First, click on the 3 dots menu next to the boards name in the left side panel:
You can then select “Move to” and choose “Move to workspace”, which will pull up the list of Workspaces on your account that you can move them to:
If you want to move them all at once, then you can put all of the boards into one Folder and move the folder instead (which will subsequently move all the baords witihin it):
If Monday Projects Product and Core Monday Product are two entirely separate monday.com accounts, then you will need to follow the steps in this article in order to move them between accounts: How to copy boards and dashboards between accounts
I hope this helps! Remember to mark as solved if this answers your question 
Cheers,
Jenna