Can my Tacoma handle a 6x12 uhual trailer?

I'm moving 900 miles and I am concerned if my 2004 v6 2wd extended cab prerunner can handle pulling a 6x12 uhaul trailer.
I only have about a one bedroom apt to tow. A full size bed, couch, and chair&ottoman are the biggest and heaviest things I have to tow.
What are your opinions/thoughts?

 

I tow a 17' aluminum boat with ~400lbs of motors on it with no problem. It's not light. v6 for the win!

 

It's not the trailer, it's the weight. I moved about 4000 lbs including a 6x12 uhaul 1500 miles. Before the tow I added a green fan clutch, a secondary transmission cooler and used synthetic ATF in the transmission. My transmission temps were between 175-220 on hill climbs. Overall I was pretty impressed. The transmission fluid was still bright red when I arrived to my destination, California to Texas.