RE: having problems keeping rifle steady.
Are you having trouble holding steady at all times or only during the trigger pull maybe? I start losing accuracy any time my trigger pull is over 4 1/2 pounds or so (which is unfortunately lower than most factory triggers are set).
If you are using shooting sticks, try adjusting how far in or out you are placing the sticks to see if there is a certain spot you are steadier.
Unless you are shooting from a bench, there will always be a little wobble. To compensate for this, I try to keep my wobble zone within the target area as much as possible, but I also time my shot with my breathing. Some people hold their breath during a shot, but that doesn't work as well for me as shooting when I'm exhaling. I hold slightly above the target, slowly exhale and let the crosshairs slowly drop. When they intersect the target, I pull the trigger. It is easier for me to direct my motion than try to eliminate motion completely.
As with anything, practice makes a lot of difference. Just experiment until you find a system that works for you.