I'm in the mood for English (This works but you could be more specific if you wanted to, it's up to you. "I'm in the mood to use English/write some English," etc.)

I watch a 10 minute TV program intended for English beginners everyday.
("One thing I started doing is watching a...")

I write a short text on italki as well./ I also write a short text on italki every day. (Very good. Specifically you could say "I also post an entry in my journal on italki every day."

* "Everyday" is an adjective meaning "ordinary" or "typical," as in "everyday clothing" - referring to clothes you wear on a regular basis

"Every day" simply means "each day"

I sometimes read a textbook. (This would go naturally with the previous sentence: "I also post an entry in my journal on italki every day, and occasionally read books/a textbook/a book."

Most importantly, I started to practice speaking English with some of my language partners.
They help me a lot, and I appreciate them.
Now, I am in the mood for English.
If I continue to put more effort into practicing English, my English skills might improve. OR more simply: If I keep practicing English, I might get better at it.

I hope I can keep my study plan.

Would you please check my writing? Thank you.

Good job and have fun!

I'm in the mood for learning English