I draw closer to my creator by constant studying of his word, as I study I get to know that I am not satisfied and that I can never know him enough, so I yearn for him, as I yearn for him I tend to draw closer to him.
Apart from that I get closer to God by worshipping him from the depth of my heart, most times I even burst into tears. I can remember such feelings right now, its always a time I don't want to recover from, it is always so rewarding.
Thanks for this question.