More info, mate
1. What's the OS you are going to, or have snapshot/ted, that you want to install at the other end?
2. Is it the case that you want to install a clean OS at the receiving end, then use the Timeshift snapshot you have on your current computer to duplicate to the new drive, settings, data and all?
3. What is the size of the existing OS as per, say GParted?
I may move this to my Thread on Timeshift, so that many of its Watchers may benefit, but we'll see what you come back with.
Cheers
Wiz