Discovering italki

I want to learning English very much. A few days ago I saw my blog friends' are travel photos. They were very pretty. I'm going to have traveled in January next year. I hope that my English will be better than now.
Today is here. It's time to work.

Remember a space after a full stop. This is also for a comma.

Even better, maybe 

I want very much to learning English.

You could also have 

A few days ago I saw my blog friends' very pretty are travel photos.

or

A few days ago I saw my blog friend's very pretty are travel photos. - if there was only one friend.

You can also say

I'm going to traveled in January next year.

I hope that my English will be better than it is now.

I want to learn better English.
Few days ago my blog friends toured photos are very nice to see. - X

Sorry, can't say it like this.

I'm going to travel in the next year of January. - X

Sorry, can't say of January. Maybe try .... in January of next year.

I hope that my english would be better than now. -X
"would" is not the best choice here.

Discovering italki

I want to learning English very much.

I want to learn better english.

A few days ago see blog friends are travel photos, very pretty.

Few days ago my blog friends toured photos are very nice to see.

I'm going to have traveled in January next year.

I'm going to travel in the next year of January.

I hope that my English is better than now.

I hope that my english would be better than now.
Today is here,It's time to work.

Today I'm here & it's time to work.