I finally geot a new notebook for writing journals in the morning.

If you got the notebooks today, it would be "I finally got a new notebook for writing journals this morning."

Moreover, I bought two more notebooks that, one is for my schedule and the other is for my ideas.

Someone distinguishesd them as a journal, a scheduler and a planner.

I think using "described" would be better than "distinguished"

I haven't used a scheduler and a planner rightlybefore, so now it is time to use them in earnest.

We don't really use the word "rightly" if you mean "in a correct way" you would use "correctly"

I hope I can enjoy good time with thewriting in my notebooks.

Since the notebooks are inanimate objects, you wouldn't say "enjoy a good time with...". It would be better to say "writing in" as that is what you will use them for

I finally geot a new notebook for writing journals in the morning.

"got" is past tense, which seems to match the rest of your note.

Moreover, II also bought two more notebooks that o. One is for my schedule and the other is for my ideas.

"Moreover" is very formal and old-fashioned. You rarely hear someone use this in modern English.
I split this into separate sentences, which was a stylistic choice. You could have kept them as one sentence, and used some other punctuation such as a colon (:) to join them.
The notebook for "my idea" should be plural ("my ideas") unless the notebook is specifically meant to hold one big idea (for example, "my book idea.").

Someone distinguishesd them as a journal, a scheduler and a planner.

Changed "distinguished" to past tense (see note on your first sentence, above.)
I'm not sure what this sentence is trying to say. Using "Someone" as the subject makes it a little vague. Did someone tell you the notebooks should be used as a journal, a scheduler, and a planner? Or was it your idea?

I haven't used a scheduler and a planner rightlybefore, so now it is time to use them in earnest.

"Rightly" felt a little awkward here. I put in the word "before," which would technically imply that you've *never* used them at all, instead of implying that you've tried to use them but was not very successful at keeping them up to date. English allows a fair amount of exaggeration, so it would still be considered permissible to say you've never used one even if you have used one a little.

I hope I can enjoy good timeresults with the notebooks.

Saying "I hope I can enjoy good time with the notebooks" is a little unclear. Are you hoping to enjoy yourself and find pleasure in using them, regardless of it they're truly useful? Or are you hoping they will be useful and help you to plan and schedule more effectively?
I assumed it's the second one you wanted to convey, so I substituted "results."