diary

Today I went shoping with my daughters, Kiko and Momo,  and we went to the supermarket.
I pushed Momo to the supermarket in a stroller. 
Kiko went to the supermarket riding a tricycle. 

Diary

Today.i I * went shopping with my daughters, Kiko and Momo, ** to the supermarket.
I went pushing pushed Momo in a stroller in Momo to the supermarket.
Kiko went riding rode her tricycle to supermaret there.***

ま子さん、素晴らしいですよ。

A few notes:

* Capital Letters. You used capital letters very well. But the title of the story should be capitalized. Also "I" is always written with a large i.

** Commas are important. Don't use too many of them. But I added commas here to set apart your daughters' names. 読んでください：

　　"I went shopping with my daughters to the supermarket." - これは完全な文章です. A complete sentence.

       "My daughters are Kiko and Momo." - これも完全な文章です。

But you want to combine the sentences, so that you can include the daughters' names in the first part.  The comma (same as in Japanese) can set apart something in a sentence. When we are reading, and we reach a comma, there is a small pause, like this:

　　"I went shopping with my daughters [pause] who are named Kiko and Momo [pause] to the supermarket."

*** Instead of repeating "supermarket" it's better to say "there" (which works like こちらへ or あそこに)

ALSO, did you notice how you paused during your reading of the sentence: 

     When we are reading, 　and we reach a comma, 　there is a small pause, 　like this

説明の中の例です！

diary

Today (I took out the period)  I went shoping with my daughters Kiko and Momo at the supermarket.
I went pushing a stroller in Momo to the supermarket. ( A better way to say this sentence would be: I pushed Momo in a stroller to the supermarket.)
Kiko rode her tricycle to supermarket.