My Child's Education of Child My Child's Education

This sounds more natural in the US.

MThis April, my daughter entered elementary school at this April. This April, my daughter entered elementary school.

There's nothing wrong with putting "this April" at the end, but I think it sounds better if it starts the sentence.

My daughter entered elementary school at this (past) April. My daughter entered elementary school this (past) April.

Now she is ion ther long summer vacation. Now she is on her long summer vacation.

Now she is in thehas a long summer vacation. Now she has a long summer vacation.

Your sentence is technically correct but this is more how'd we say it in the US.

However, on weekdays, both I and my wife and I work, so we can't take care of her. However, on weekdays, both my wife and I work, so we can't take care of her.

In English, when we are listing people, it's usually seen as polite (or proper) to put "I" or "me" as the last thing in the list. But your sentence is fine on its own!

However, oOn weekdays, both I and my wifehowever, my wife and I both work, so we can't take care of her. On weekdays, however, my wife and I both work, so we can't take care of her.

or, even better: On weekdays, however, my wife and I both work, so we can't look after her.

We leave her in the care of a "gakudo". We leave her in the care of a "gakudo".

'of "gakudo"' would imply that gakudo is a person.

We leave her in the care of a "gakudo"." We leave her in the care of a "gakudo."

"Gakudo" is like a less formal form of school. "Gakudo" is like a less formal form of school.

"Gakudo" is like aschool but it's less formal school. "Gakudo" is like school but it's less formal.

Many children in the same situation study and play togaether there. Many children study and play together there.

Many children in the samesimilar situations study and play togathere togethere. Many children in similar situations study and play there together.

I don't know much about "Gakudos" well, but it'sthey sounds fun. I don't know much about "Gakudos", but they sound fun.

I don't know much about "Gakudo" well," but it's sounds fun. I don't know much about "Gakudo," but it sounds fun.

I'm not sure whether to capitalize, "Gakudo/gakudo," or not.