Pulling a Trailer

I have a 2004 Yukon SLT with a 5.3 motor. Would I be able to pull a 29' dutchman lite holiday trailer ?? Would there be a lot of side to side movement of the trailer ??

Thanks for your help

I have an 02 Yukon with the 5.3 engine, heavy duty towing package, 4.1 rear end, etc. It is rated to tow 8100 lbs. It easily tows a 22 foot 6500 lb HiLo trailer. One thing I have that I might recommend is a weight distributing hitch. That will help stabilize the trailer since it distributes the weight more evenly while towing.