That is the best option DSM bhai. As the experts are best suited to handle such a situation. If we mess around with the hard drive, experimenting with data recovery software etc. then that might complicate the issue and make the data recovery even harder later on. If you have some friend or known guy in the PC shop that would be best, otherwise many PC Shop guys try to take out big money from such cases, even though the data might be easily recoverable.
Learn from this incident and ALWAYS keep backups of important data "if you do not do that already". If you do not have a backup hard drive "portable one", then spend some extra bucks and buy an extra hard drive for the backup purpose as well. If you have good internet speed and unlimited plan, then you can also create a backup on Cloud as well.
Wish you all the best.
With Regards