I have a 2008 Tundra CrewMax Limited, special ordered from the factory with the TRD option. The only differences added by the TRD option were Bilstein shocks, a plastic skid pan (not the heavy duty metal one that is an extra cost option), TRD alloy wheels with P275/65x18 BFG Rugged Trail tires, and the TRD decals.
Some of the other options have the TRD name, but they did not come as part of the base TRD package. For example, I also ordered the TRD rear sway bar and the TRD cat-back dual exhaust system (with chrome exhaust tips).
I test drove both the Tundra CrewMax Limited without the base TRD option and another Crewmax Limited with the base TRD option, and the difference in ride with the Bilstein shocks was only slightly discernible as being a little more firm. However, the TRD still rides very soft for a pickup truck. Also, while I got the TRD rear sway bar because I thought it would help when towing, it seems to make absolutely no difference in normal driving. I suspect it might help a little when the vehicle reaches the cornering limits, but hopefully this will never happen when towing (or at any other time). I have heard that the sway bar is NOT recommended for off-road use, as it limits the travel on the rear-end, which is undesirable for four-wheeling. However, I don't off-road with our Tundra, so I have no idea if this is true.
So, to summarize, I think the base TRD option makes no significant difference in ride; and it probably doesn't affect handling while towing either. However, some of the other, more costly TRD options (like larger TRD brakes, and 20 or 22-inch wheels and tires) may make a noticeable difference that may or may not improve ride and handling. Personally, I think the other TRD options I purchased did nothing to improve our Tundra's handling beyond that of the base model (without TRD); and the larger wheels and tires probably do not have the load capacity of the 18-inch wheels with LT tires.