In order to get a full Daedric suit fairly quick all you have to do is to be on level 25 or up and go to the Roxey Inn. Once you are inside the Inn look for a woman named Rigmor. If she isn't wearing a full Daedric Armor Suit then there are two possible problems. Either you level is not high enough or your luck is not at an adequate level (it should be around 50 or so).

If she isn't wearing the suit she will have a full set of Ebony armor. Still don't let that tempt you. If want a full set of Ebony armor kill Umbra in the Alyeid ruin called Vindasel. But before you kill Umbra talk to the Shrine of Clavicus Vile. He will give the quest to kill her and to bring back the Umbra sword in return for the Masque of Clavicus Vile.

If you return Umbra before talking to the shrine the game will freeze. There is an old Redguard in the Roxey Inn. I can't remember his name but he is the only guy not wearing armor other than the bar tender. That Redguard is a master of heavy armor and will train you if you get him a silver pitcher and four silver cups. You can easily obtain these cups and pitcher by going to Dorian's house in the Imperial City. Dorian can make you rich but not on his free will.

To get rich persuade him until he dislikes you, once you are done he will say things like ,"Get out or I'll call the guards!". Kill him either before or after he attacks you. When is dead search his body for his gold. If you have done everything correctly, you can collect his gold for an infinite number of times and thus become rich which can pay for your heavy armor training for the Redguard in the Roxey Inn.