Check your saddle position first, if it's too far forward then it can encourage you to try and push up and back all the time. It all works together but I'd generally work saddle forwards not start with the bars. A good way to picture it, or at least it worked for me is:-
stand against a wall and try to bend forwards, you'll find your bum presses against the wall, it's like a counter balance, otherwise you'll fall forward. On a bike it's the same thing but you also have pedalling force to counter the weight.
Taken to extremes a time trial position would put your bum forward over the pedals and more weight on your upper body, but this position is for pure power, it isn't meant to be comfortable for lengthy or leisurely cycling.
A touring setup could see the saddle moving back, and down(has to move down to keep the same reach to pedals), with the bars being raised
Most of us will fall somewhere within this range and the type of cycling you do should dictate the primary position setup. I also find it useful to envisage your bike position as a triangle, formed of bum, hands and feet, that pivots around the bottom bracket.
Another good tip is to assume your normal riding position and then take your hands off the bars, if you fall forwards, or struggle to hold the position, then it may be too agressive for you.