I always carry a bow and an ebony mace. I rarely use bow and arrow (usually only if I have to fight a dragon.) Then, I use a healing spell with my free hand. Sometimes I switch to a conjuration spell, but typically I just stick with healing.
I have an ebony bow with the soul steal enchantment; ebony, glass and Daedric arrows; a Daedric sword I got from Ulfric; and the Blade of Woe you get from the Brotherhood. I like to sneak up on people and stab them in the back with the Blade of Woe. Or I'll stand far away and shoot them in the neck.
I carry the Axe of Whiterun, the other magival swords that I have won. I am not much of a bow and arrow guy. Also, I have an exquisite dwarven dagger that I use to kill people while sneaking behind them.
I prefer magic combat, so I don't wear any armor, usually just regular clothes or mage robes, and I DO carry 2 daggers, but I don't use them in active combat. For combat, I use my destruction magic to do the job. The daggers are for sneaking around in dungeons and killing everyone before they even get a chance to detect me. For stealth, magic is a terrible weapon, so I prefer to use my trusty daggers to critical hit even the toughest bandit chiefs.