You can run DH2 on 2 system at the same time, but we don’t have sync feature yet. You will have to export the hand history from one of your PC then import to the other.
I suggest using the backup and restore method for the first transfer.
How do I backup my database?
Then after every session, export the new HH and upload to a cloud storage service like google drive,dropbox,etc then import the HH to your other PC.