Is it safe to tow a trailer with an Accord?

I am moving across the country and I just purchased a 4dr V6 Accord. I
researched the costs of renting a Uhaul truck and towing my accord.
Wow, $3000 moving out and then back in 6 months (not including fuel).

Uhaul told me I can tow a 5' x 8' trailer with my 4 dr accord. The
trailer weighs 800 lbs and they say trailer plus cargo should not
exceed 2000 lbs. They say as long as I'm under 2000 lbs combined, I am
fine.

They recommended a automatic transmission cooler when I install a
hitch.

If I put a hitch and auto tranmission cooler on, I can rent a trailer
and be in the move $600 instead of over $3000.

Am I making a mistake putting a hitch and auto trans cooler and towing
a trailer across the country with my Accord?

Help!

 

I think most Japanese automatics these days have transmission coolers.
It's a pair of small hoses on the bottom of the radiator going to the
transmission. I don't know about the normal V6 but the Hybrid
stubbornly refuses to use first gear when driving slowly up very steep
hills. You may need to manually shift into first gear when starting on
a hill.

The owners manual tells you about towing trailers.