Here are a few tips. Feel free to add your own.
1- Choose an appropriate Stone to help level up quicker, eg Apprentice Stone for mage stuff. It's easy to forget to do this
2- For conjuration, you cant just conjure without an enemy around. Try Soul Trap on a dead body
3- With Illusion, the higher the level, eg Expert rather than Novice, the quicker the increase. And rather than eg cast Pacify on just ONE person, go to eg Palace of Kings in Windhelm and cast it at the centre of the table, it hits a FEW npc's and you level up quicker.
5- For destruction, conjure a familiar and use Wall of Fire to kill it levels you up. You dont have to spend ages roaming the wilds searching for animals or dungeons
6- for pickpocket skill, save after every 2 or 3 successful pickpockets. take lighter items. it says on screen if you look closely the chance of pickpocket success eg 90%. dont try to pickpocket something with 0% success!
