My suggested changes are in parentheses.
I feel like this quote espresses what poetry is the best.
(I think this quote expresses what poetry does best.)
Not everyone will understand a certain poem.
Poetry is a very personal thing since it is raw emotion.
(Poetry reaches each person differently and touches their emotions.)
I agree with the part about “the more good poets there are, the more people will read poetry.”
(I agree that if there were more good poets, more people would read poetry.)
I think that the reason some don’t like poetry is because they have not found the right poet.
(Unfortunately, some people don't like poetry. I think that is because they have not found the right poet.)
People think that if they don’t like one poem then they won‘t like any, but they just haven’t found a poet that tickles their fancy.
(Every poem and every poet is different. So if someone doesn't like a certain poem, they need to seek out a poem by a poet who can touch their emotions.)
I rewrote the entire paragraph to give a general understanding of another way to express the ideas. It avoids using the words "feel like", "the part about", and "tickles their fancy."
If you want to improve your critical skills and your writing ability, read reviews of books in the Sunday newspaper. It will expose you to a wider variety of vocabulary than you would hear from your family and friends and show you how to analyze another person's work of art.
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Another way to say it
I agree that there are many different forms and styles used by poets expressing the ideas that they wish others to understand. Poetry affects individuals differently and no two people understand a poem in the same way. The challenge for a good poet is to find words that touch the bare emotions of not just one individual, but many. When that happens, many readers find the poetry enjoyable and want to read more. It takes many good poets with their unique poetic expressions to reach the many different people in this world. And when a person doesn't respond to one poem, they need to try other poets and other poetry until they find the special match with their own experience. Such poetry is exhilarating.