You'll be a man, my son

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What a fantastic paragraph! Your English is brilliant, and I can see that you want to keep improving :D

You'll be a man, my son

I wish for my children to become innerly inwardly calm, self-confident people, who won't waver in the face of difficulty/problems. I'd like them to accept life as it is in all its diversity and richness, but also to try and make the difference, to make the world a better place in whatever area they like and choose to.

I wish that they had have empathy for others, even smaller creatures. I wish that they would do not set limits for themselves, and believe in their ability to achieve/deliver/fulfil their ambitions.

I wish that when they felt feel sad, or were are in difficulty/or suffer stress a *quandrum they had have a (legal and healthy :) way/means to relax, and then come back and look at the problem from another point of view.

I wish that they never let money, other people, etc. stand between them.
I wish that they know that there is at least one person who is always/who will always be by their side - me. 

Hard as I tried, I couldn't outdo Rudyard Kipling )))   You've made a good attempt !

*  '. . find themselves in a quandary'  would relate to a situation to which you have already referred

You'll be a man, my son

> Much as I like to write, it still needs a lot of preparation on my part to muster the courage to do that. I have already finished writing about something today, and it is now lying on a table.

Much as means "although/ however much"

So I'm secretly happy both that today is the last day of the writing week and that I'm not out.> So, I'm quietly happy that today is the last day of my writing week and that I have done whatever was required of me.

I'd like to write a kind of a letter to my children or think in a written form of what I wish for them.> I had written something in the form of a letter that is addressed to my children

I wish for my children to become innerly calm, self-confident people who won't waver in the face of problems.> I wrote to tell them that I hope they will become someone who is patient and self-confident in life and not waver in the face of problems/adversities/ /life's difficulties.

I'd like them to accept life as it is in all its diversity and richness but also to try and make the difference to make the world a better place in whatever area they like and choose to. > I not only want them to respect life in all it's diversities --so to enjoy it's richness-- but I also want them to make a difference in this world, to make it a better place by doing something of their choice that they enjoy doing.

I wish that they had empathy for others, even smaller creatures. > I told them that they should have empathy for others, even for the other "lesser" creatures that share our world.

I wish that they would not set limits for themselves and believe in their ability to deliver. > I also told them that they should not set limits for  themselves, for they have to believe in themselves that everything is possible if they set their mind on it.

I wish that when they felt sad or were in a quandrum they had a (legal and healthy :) way to relax and then come back and look at the problem from another point of view.>  I advised them that whenever they feel sad or in a quandary about something, they should find some healthy way to relax themselves, without resorting to doing anything that is illegal, so they can revisit the problems from a different perspective. 

I wish they never let money, other people etc. stand between them.> I told them that they should not let money stand in between you and those people who are important to them.
I wish they knew that there is at least one person who is always by their side - me.> I want them to know that, whatever happens, there is always a person who is by their side-- me. 
Hard as I tried I couldn't outdo Rudyard Kipling )))> Hard as I tried, I don't think I could ever outdo Rudyard Kipling.

* You are their mum, so they is not need for you to "wish for " anything for them -- you just tell them or advise them.

BTW, they is a big difference between "wish " and "hope" " We use "hope" when there is a possibility of happening > I hope I will be rich one day. We use "wish" when we want something in the past or now that we want to change, but it's something that is unlikely to happen> I wish I were rich .( always in the past tense, because it indicates something that is imagined or unreal without possibility of happening > I wish you were here./ I wish it would rain ( Of course it will not happen). This is the meaning of "wish" to mean "hope, "hope" has possibility , "wish" does not.>I hope it will rain ( they is a chance it may just happen.)

In the other sense, "wish" can also mean " want to" > I wish to see the doctor (formal) or to convey greetings/regards > I wish you a happy birthday > I wish the best for him. ( always before a noun)