Expericece of/with/in
this seems like the division to me:

"i have a lot of experience of hunger"
a personal experience, like i have of a lot of experience of being hungry as a child.

"i have a lot of experience in hunger"
i have studied it as a concept, not personal, more like its biological effects or sociological implications etc.

"i have a lot of experience with hunger"
this is a lot more ambiguous to me, so if someone said this it would depend on the context on which meaning it would take.
eg. 1) i have a lot of experience with hunger. when i was little, food was very scarce.
eg. 2) i have a lot of experience with hunger. in the laboratory we undertook many experiments as part of our investigation.

how does that sound?is it true?

Would someone please tell me a little about when we have to use experiences/experience?
I asked this question before but there was nothing understandable for me, it was confusing ;(

For example: i have lots of experience/experience"s" in/with/of cooking and cleaning.

Question

Expericece of/with/in
this seems like the division to me:

"i have a lot of experience of hunger"
a personal experience, like i have of a lot of experience of being hungry as a child.

"i have a lot of experience in hunger"
i have studied it as a concept, not personal, more like its biological effects or sociological implications etc.

"i have a lot of experience with hunger"
this is a lot more ambiguous to me, so if someone said this it would depend on the context on which meaning it would take.
eg. 1) i have a lot of experience with hunger. when i was little, food was very scarce.
eg. 2) i have a lot of experience with hunger. in the laboratory we undertook many experiments as part of our investigation.

how does that sound?is it true?

Would someone please tell me a little about when we have to use experiences/experience?
I asked this question before but there was nothing understandable for me, it was confusing ;(

For example: i have lots of experience/experience"s" in/with/of cooking and cleaning.

Answer

You are right about "in" and "of".  "with" is less common in my experience and I would say that it is sometimes interchangeable with "in", but never with "of".

For me, "with" is used with a method or a phrase which describes the use or application of something e.g. I have experience / I am experienced with/in the use of laser technology," (I am not really!)  I prefer "in" to "with", even when "with" is possible.

On your second point, consider this situation:

"I went on holiday and tried 10 different sports including skiing, on 10 different occasions. I had some amazing experiences.
Are you now experienced in skiing (the skill)?  
No, I have very little experience of skiing (the activity).  I have only had one experience (occasion) of skiing."

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