You can resize the character display window to only show health/magicka/stamina, lock it to always-on, and position it wherever you like, but that's as close as I know how to get to what you want. This is probably not ideal, as you'd have to resize it bigger again any time you wanted to view stats, skills, and faction standing.
There's no solution for moving the magic effects as far as I know, sorry.
After looking it up, it appears that someone was once working on a mod that would hide the default UI elements and display its own: https://www.youtube.com/watch?v=CG0OkQIw1Oc but they said that the method for hiding the UI elements was unreliable, so it was never released. It's possible that the original code is still somewhere and could be investigated, but that was several years ago.