I've been using Deadly Combat, Deadly Dragons, Immersive Armor, Immersive Weapons, Immersive Creatures, and Better Magic. I was watching a video on SkyRe and it looks incredible. I want to start my new character with that.

I am assuming Deadly Combat and SkyRe should not run together, right? How about the other mods I listed?

Can I just uninstall whatever mods will conflict in NMM and install SkyRe and be good to go?

With one exception, I've used all of the mods you you list with SkyRe with no problems at all. The exception is Deadly Combat. I've never used that mod and SkyRe together. But all of the rest work perfectly with SkyRe.

In fact, I wouldn't be surprised if you could also run Deadly Combat and SkyRe together too. Load whichever combat mod you want to take precedence last.

Deadly Combat and SkyRe have been around for quite a while, so if there is going to be a conflict, BOSS should tell you. It will also let you know about any needed compatibility patches. SkyRe had quite a few of those at one point. Not sure if that's still the case.