We have roughly the same truck (did yours come with a "tow package"?) and have towed 3 trailers with it: a 22' hybrid trailer (I forget the GVWR of the trailer but it was under 6000 lbs, I'm sure), a 34' "light" trailer with a GVWR of 7600 lbs, and our current 27' trailer with a GVWR of 6500 lbs. It did well with all 3, but I will say it seems an awful lot happier with the new trailer than with the big one.
DO NOT choose the 9800-lb one UNLESS it has a cargo carrying capacity (which will be listed on a sticker either on the outside of the trailer or inside a cupboard somewhere) of AT LEAST 2800 lbs. Seriously. Payload capacity of the Tundra is low compared to other 1/2-ton trucks, and that will limit the tongue weight of the trailer you pull. We travel with just us 2 adults and a 10-lb cat, plus perhaps 250 pounds of stuff in the truck at most (counting the weight of the hitch) and we were right at capacity with our large trailer - in fact, we were a bit overweight for the truck's GVWR. The other trailer you're looking at is about the maximum you should consider with the truck you have, IMO.
Incidentally, all the negative stuff you will hear about the Tundra as far as weights go is pretty much true. However, you will probably love the truck otherwise. :)