Install Logic Pro X on new iMac from older version on 2007 iMac

On the new Mac, open the Mac App Store, log in with the Apple ID you used to buy Logic Pro X, click on the Purchases tab, and download it.

If you got it preloaded with the old computer, use the Apple ID you accepted it into. If needed, this can be done from the Purchases tab on the old Mac.

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Shouldn't be a problem. If you clone your current system, or have an up-to-date Time Machine backup, you should be able to use this on the new machine and your particular version of Logic and prefs and key commands, your current OS, all your files and _esp._ all your plugins should be ready to go. Then you update to Mojave and latest version of Logic (or vice versa).

Or you could start fresh with Mojave, download Logic from app store (I'm assuming it knows you're a logic owner), transfer over key commands, re-install plugins, etc. Hassle, but it's nice to be fresh and squeaky clean.

If you clone to an external drive, you can boot right from it to see if your iMac has hiccups running your old system. (hold option when booting). You can not boot from a time machine drive. Instead it just reinstalls the backed up state of things to the drive in the iMac.

TM is very slow (could be overnight if you have a big backup or slow drives). Cloning is fast (and esp. booting from clone which takes 0 time)

I've used this for years without any issue, 100% free: https://www.shirt-pocket.com/SuperDuper/SuperDuperDescription.html

Not sure if i've used it since APFS though...

There's also CarbonCopyCloner which is supposed to be at least as good as superduper, but IIRC there's less functionality (if any) for free.

*SuperDuper now works with APFS and HFS+.

Did a Mojave clone last week, updated a clients HD to an SSD. All in APFS, all 100% cool.

What OS are you running on the old iMac, which version of Logic?

Which iMac are you planning on buying?

And what kind of new iMac are you considering? year..etc.