suprz,
I would do the front stabilizer bar first because the bar itself is terribly under-rated for the application, the poorly engineered end donut bushings wear out quickly, and you have the huge cab-over bed that catches the wind.
A free improvement would be to inspect or rather tighten your stock Ford rear stabilizer bar end links. Make sure there is no "play" in the stack of washers and rubber bushings. Tighten them up to cause a little compression in all the rubber end-link bushings. Between a new heavy duty front stabilizer bar, and tightening the end links in your stock rear stabilizer bar, I hope you will feel a noticeable improvement. That is the mission.....noticing an improvement. If it's better but not yet good enough, then later replace the stock rear stabilizer bar with a heavy duty Helwig and consider heavy duty Bilstein shocks.
READ THIS on my experience with the shocks on our 2007 E350 chassis. Included are many pictures clarifying things. You can inspect your shocks for such a failure by simply jacking up your front end and looking at the top of your front shocks as shown in the pictures. You can also check your front shocks for effectiveness by following the test procedure outlined at the end.
But before doing anything,
READ THIS first.