There is not a right way to pray, but there are ways of setting out to pray that are more effective. Essentially they are:
It is important to set aside time for prayer. A regular time slot is good, but if this is not possible, at least set aside some quality time for prayer, even if this is just a few minutes.
Find a place to pray where you will not be disturbed (this can be somewhere simple, like sitting in your car before going to work). It does not have to be a special place, although this can help.
The environment can help - maybe you find music helpful, maybe silence, maybe a lit candle or a statue or an icon.
Set prayers can be useful, or reading some scripture (like the daily readings in the weekday missal or some stimulating thoughts from a publication like “Bible Alive” or “Magnificat” or from a web site with daily thoughts).
Prayer is a conversation with God, so all you need to do is talk to Him and if you give time and space. He will do the rest!