How do I put this into words? I’ve reasoned that life occurs in cycles from the particles that make them up and some how these particles give life. As

Material reincarnation of particles is a no brainer. The carbon in you may have been in someone else's body 300years ago.
What makes you unique is your memories and the circumstances that in which they were acquired. An a unique consciousness grows in you when certain biological and environmental conditions are present. Maybe we can clone the body. But we wouldn't be able to recreate your previous learning environment. Lol a time machine would be needed for that.
The closest thing to reincarnation is memory transfer. But are we just that?

When you consider that you are completely made up of the materials that make up the universe perhaps one could consider the perspective that you are actually the universe looking upon itself. Reincarnation therefore is a readjustment of the perspective of the universe about itself.