How old is the Mac you are using NOW?
Is it Intel-based, or does it have an m-series CPU?
What version of the OS is on it?
What kind of backup do you keep?
Please answer ALL questions above.
If your current Mac is an m-series CPU, just connect your backup and run Setup Assistant the very first time you boot up. Your apps are already compatible with Apple Silicon (m-series CPU), no problems.
If it's an older Intel-based Mac, you might do a "modified" migration.
I'd suggest:
a. Create a CLONED backup using SuperDuper, which is FREE to download and use for this job. SD is amazingly easy to understand and use.
b. When the new Mini comes, set it up and connect the backup. Begin setup.
c. Setup assistant will ask if you wish to migrate. Yes, do you.
d. Give SA time to "digest" everything on the backup. It takes a little while.
e. Important step: SA will present you with a list of things to migrate:
- accounts
- applications
- settings
- data
f. I recommend that you UNCHECK the "applications" option, but DO migrate everything else.
(when you migrate the apps folder, it's "all or nothing"... I'd prefer "nothing" right now, and then migrate apps "a little at a time" when I discover "what works")
WHY I make this suggestion:
If it's an older Intel Mac, many of the older apps may not run on the new Mac without upgrades. Some may not be "upgradeable" at all.
BUT... IF you created a CLONED backup, you have a way to check this out BEFORE you move the old apps over.
That's because you can try the apps FROM THE CLONED BACKUP first.
Go into the backup, find the applications folder, and start trying the apps you'd like to migrate, one-by-one.
If they run, then you can either just "copy over" the app (from old applications folder to the new one), or re-install it.
TIP: because you already migrated accounts and settings, you have already "brought over" your account's preferences for these apps, and they should run.
That's how I'd try it.
In fact, it's how I'm going to try things myself -- I just bought an Apple Reburbished Mini from their online store yesterday, waiting for it to arrive next Tuesday. When it gets here, I'll have my older (2018) Mini set up on the left, and the m4 Mini on the right with its own display and keyboard.
I'll get my accounts/data/settings moved over, and then concentrate on applications "individually".
Good luck...!