This is an old word that literally means begging earnestly with humility. I think that it often may be associated with asking for the needs for others, but here it is for our own needs also. When praying for others, it has often been called intercession. To practice supplication then, is to ask God for whatever is on my mind and heart. I would suggest this one point: Adore first, Confess humbly, Thank often and Supplicate last (ACTS). One more helpful practice is to keep a prayer journal where you list those requests. Then when each request is answered (in whatever way God chooses), write a prayer of thanksgiving beside or below it.