Illusion magic is VERY useful for sneaking, with the muffle spell.
You wont need the muffle spell if you max out your sneak, your character will be so muffled, that it be like hes floating.
If you truly want to be a master stealth character I mean nothing but stealth but all your perks on stealth, and archery, and max them both out.
Why archery?
Because like in real life a sniper is dependent on stealth, and from afar, if you can kill someone from far away in the game's sense with bow/arrow
and poison you cannot be found and you can kill anything/anyone without ever making contact. Also with Archery it gives you a zooming capability
when you get high up in the perks, or maxed out, and from real far you can zoom on your target , launch an arrow, and hit enemies, bandits,
whomever with an arrow that will give you the bonus of extra damage.
As for bows, a good bow makes a difference, good arrows make a difference so look for an arrow type that gives more damage,
and then too get into alchemy, and learn how to make poisons, a poisoned arrow will kill an enemy in half the time vs just an arrow itself.
Look for shadows or high places to hid and sneak, wait for enemies to turn their back and look away.
If your up high and in the dark your less likely to be seen vs being in the dark and level with the enemy, but if you mastered the perks for stealth then
you should be able to hide anywhere and be in plain site but not be seen, I did this against a dragon priest, I was stuck in this big room with zombies and him,
and 1 by 1 i picked them all off, every time i shot, I moved, thats also the key, shoot and then move, thats if your in a med to close vicinity, if your real far
out then just watch the enemies reaction and movement when you shoot at them.
heavy armor + sneak don't get along very well in my mind
agreed, up your light armor perks too, the lighter you are the less noise you make, you have to understand that being super stealth is basically your armor.
You dont need heavy armor if your not going to be hit, you only need it unless you plan on going toe to toe with the enemy as in trading blows or swords.