Thank you for correcting me, y. You're the best for helping other people to improve in their target languages. Thank you for correcting me. You're the best for helping people improve in their target languages.

Thank you for correcting me, you're the best for helping other people to improve in their target languages(s). Thank you for correcting me, you're the best for helping other people improve in their target language(s).

In this homework, I need to write down about meyself. In this homework, I need to write down about myself.

In this homework I need to write down about meyself. In this homework I need to write about myself.

"About" would be a better word to use here since you're referring to yourself. Adding "myself" as well helps it flow more smoothly.

In this homework I need toassignment I must write down about me.yself. In this assignment I must write about myself.

I knowalready know a couple of learning techniques. I already know a couple of learning techniques.

I know several different learning techniques. I know several different learning techniques.

I dislike to dodoing my homework (hahah, just kidding). I dislike doing my homework (hahah, just kidding).

I dislike to dodoing my homework (hahah just kidding). I dislike doing my homework (hahah just kidding).

I dislike to eating mushrooms. I dislike eating mushrooms.

I dislike to eating mushrooms. I dislike eating mushrooms.

I dislike to eating mushrooms. I dislike eating mushrooms.

I dislike to takeaking hot showers. I dislike taking hot showers.

I dislike to takeaking hot showers. I dislike taking hot showers.

I dislike to takeaking hot showers. I dislike taking hot showers.

I hate to talk with egotistic people. I hate to talk with egotistic people.

I hate to talking with egoistic people. I hate talking with egoistic people.

I hate to talk withalking to egotistical people. I hate talking to egotistical people.

I hatdon't like to be distracted when I'm studying. I don't like to be distracted when I'm studying.

"hate" is a strong word. I would rather say "I don't like to be..."

I hate to bebeing distracted when I'm studying. I hate being distracted when I'm studying.

I hate to bewhen I get distracted when I'milst studying. I hate when I get distracted whilst studying.

I love learning/to learn languages. I love learning/to learn languages.

I love to bebeing with grateful people. I love being with grateful people.

I love to bebeing with grateful people. I love being with grateful people.

Using "Being" here reads better, but your original answer of "I love to be with grateful people" is correct as well. It really depends on when this statement would be taking place.

I love to be with grateful peoplewith others. I love to be with grateful with others.