It's a rainy day.

Today in my city, it's a very rainy day and I can not go out.

I'm doing the cleaning and after that I'll read a newspaper.

Bye Bye

Anna

It's a rainy day.

Today in my city it's a very rainy day and I cannot go out.

I'm doing the cleaning and then after that I'll read a newspaper.

Bye Bye

Anna

In this case I would use then after that insted of and. Because you are going to read the newspaper after the cleaning or that is what the sentence implies. I but if you meant at the same time I am sorry and and would be acceptable

cross-wrong

red-added