Setting up an ipad

I’ve a new iPad, my old one had a cracked screen but otherwise working perfectly.  I’ve reset the old one to factory reset. I know I can automatically upload all the information from my new iPad/iPhone to the one I’ve reset. That’s pretty easy.

However, I don’t really want or need all the apps/programs I have on my main iPad/iPhone.  Can  I wipe some of them, like shopping apps, language apps and programs like a free photo editing program that I only use occasionally and at the same time keep them on the other machines. In essence I just want to keep the reset iPad as clutter free as possible. Is that doable and how?

Thanks for any advice you can offer