every one 是单数,
Everyone like to get birthday cards
改为
Everyone likes to get birthday cards
当表示喜欢某事物,而且以前就喜欢,还可能持续,用like doing ,如：He likes cooking in his house.
She likes singing.这些都可以表示一个人长期的爱好.
当表示想要,欲做某事用like to do,例如：He likes to cook in his house.-他想在自己家做饭吃.
She likes to stay with us.-她想和我们带一块儿.（以前想不想我们无法知道）.
不知道你这里确切想表达的意思所以不改你的like to do.