:wa:
There is no single correct way to make dua, but there are certain times and things you can do to make it more likely to be accepted by Allah Subhanahu wa Ta'alaa. It is said that dua after the fardh salah is more likely to be accepted (though in this case it will need to be in Arabic) and that dua made in Tahajjud is like an arrow that goes straight to its target. There are many other times when dua is more likely to be accepted, like during the month of Ramadhan, between the Adhan and Iqamah, during rain, etc. I prefer to make dua in sajdah whenever I can, especially when praying Istighfar as it helps me to feel more humble and it is said to make it more likely that your repentance will be accepted by Allah Subhanahu wa Ta'alaa. Try to learn lots and lots of dua so that they can be incorporated in your daily life, when you go to bed, when wake up at night, go to and leave the bathroom, after wudu, before a meal etc.
Making dua is so important because it really helps us to appreciate how totally and utterly dependent on Allah Subhanahu wa Ta'alaa we all are.
In sha'Allah I hope this helps answer your question.