I have a 2000 Tundra SR5 Access Cab 4WD - same Lexus 4.7 V8 engine
with about 90,000 miles.  I don't think there's much difference
between the 2000 and the 2001.  I towed a 2100 pound  bass
boat/trailer) with it for several years. The service tech recommend
taking it out of overdrive starting from a stop and going up hill so
that's what I did and haven't had any transmission problems.

I put a Snugtop shell on mine and have been happy with it.  Some of
the shells I looked at matched the Tundra's color and fit the bed but
the rubber grommet at the front didn't seal it around the cabs sliding
windows to keep water out.  The Snugtop fit just fine.

I had only the factory warranty, 3 years, 30,000 miles.

Problems I've experienced

The brake system was replaced by Toyota  at about 40,000 miles, which
they did for free under warranty service, something about Toyota
mistakenly using a brake system that wasn't heavy duty enough on maybe
15% of the Tundras.  I noticed something wrong going down hill at
about 60. Using moderate brake pressure, the front end started to
vibrate with a slight shimmy.  I informed the dealer's service
department and was told there was a TSB that called for warranty
replacement under these conditions even after warranty period was
over, although I don't recall how far the warranty was extended. There
was no recall.

I've had several oxygen sensors replaced between 25,000 and 50,000
miles, all done by Toyota with warranty service - no charge. Evidently
there was a batch of bad sensors so, per the service department and a
TSB, Toyota extended the warranty on these sensors to 90,000 - again
no recall.  I haven't had any sensor problems since the last one about
40,000 miles ago.

FWIW, I got the 4WD for a couple of reasons.  I drive in snow and mud
about twice a year.  Launch ramps are usually slippery from engine
oil, transmission fluid, algae etc., that gets even more slippery when
wet.  4WD makes it much easier and safer to launch and retrieve the
boat, especially using launch ramps that aren't paved.

Over all, the best it's by far the best pick up truck out the 6
(Fords, GMCs and Dodges) I've owned.  The only reason I can think of
to get a new pick up is if Toyota imports one with a good diesel
engine.  

Skip

Sorry to say I had to pass on it for now, funding, and a new baby kinda puts
a halt on things like that, but I am keeping my eyes open for another one to
show up, prolly wont be as low milage as that one was, but I think its time
to bail on GM for now.