The cheapest recovery is the one that isn't needed
It would be strange for a recovery lab's pricing page not to say this: before you spend anything, make sure you need us.
If your files might be in a cloud backup - Google Photos, iCloud, OneDrive, Dropbox - check there first; we'll even point you where to look when you call. If you deleted a file minutes ago on a healthy computer, the app's own rubbish bin or a backup may solve it free. And if a simple cable or power adapter is the real fault, an assessment will find that too - the cheapest good news a lab can deliver.
What we'd steer you away from is the middle path: cheap recovery software aimed at a failing device. On a healthy drive it has its place; on a failing one it's how a recoverable job becomes an expensive one. If the device is making sounds, disappearing, or has been dropped or soaked - skip the software, power it off, and start with a diagnosis.