First of all, I'm by far not an expert, though I'll try to give some things for thought, which ofcourse are open to discussion.
So why do we start analyzing hands anyway ?
Pretty obvious eh ? To improve our play, to increase our winnings or, worst case scenario, to limit our losses.
So, which hands to analyze ? The hands in which we can improve (in which we made mistakes) AND which are most common.
The hands in which we lose the most are not the most common and almost never hands in which we can improve.
This is because, unless you're a spewtard, these are most of the times hands in which we were coolered or brutally beaten by an ugly turn- or rivercard, thus losses which, most of the time, we cannot avoid.
Coming to the point...the most common hands are not AA,KK or QQ so if you want to analyze those you'll be finished pretty fast, because there's not so many of them and most of the times they played pretty straight forward.
Analyzing very common hands we folded pre because of being trash is useless, so we have to look for common hands we like to play but are unsure about.
Well, I guess that's connectors (suited or not), one-gappers, any suited cards, A9+ and pocket pairs upto JJ , so basically hands with wich we can gain a lot postflop but could also get us in trouble there.
I'd say start categorizing these hands.
Don't go overboard analyzing a suited connected hand to continue with a pocket pair hand. They play totally different, so stay with one category.
One or a few analyzing sessions you concentrate on the suited cards.
After a while (hopefully having found some leaks), you start analyzing for example your unsuited Ax hands, and so on...
Now the technical part, what do we need to analyze our hands effectively ?
Well a tracker would be perfect, but even just a replayer could be fine.
Add some equity-calculating software and we're equiped to start the job.
The analyzing itsself.
One of the flaws of hand analyze is, most of the time we don't remember what we were thinking during the hand when it played (assuming we were thinking), which leaves our mindset outof the analysis.
Though, when we start with a hand we're gonna try to go through that thinking proces again and we're gonna try to make our decision making in certain situations to be second nature.
Therefor we have to ask ourselves questions during the replay of the hand and we're gonna answer those questions ourselves, meanwhile judging our own answers.
For example...we start the replayer with a hand we have 10-9s in the small...it folds to the button who makes it 3x....stop the replayer and start questioning.
What could be the most logical range he opens with ?
Should I fold,call or 3-bet and most important...why ?
If I 3-bet, how much ?
Whenever you think you got the answer, restart the replayer and see what you did.
Stop the replayer again and compare your answer to the decision you made while playing the hand.
Judge your decisions on every street and try to find the spots where you went wrong.
Try to find your motivation behind decisions and judge them.
Ask yourself if you got the right prize to draw, calculate your equity against your opponent's range.
Compare similar hands with eachother.....why did I fold here and call there with similar hands ?
Playing poker is about making decisions....analyzing your hands is about questioning and judging those decisions.