Hmmm...I always liked the jacks and lug wrenches that come with Toyotas.

What you might try is to find a jack from a Supra. They had an easier to
use handle than what came with Corollas. Or, get a jack from a truck. It
was a bottle jack with a long handle (to get the spare tire out)

As far as the lug wrench, get a 21mm socket and a 'breaker bar', 1/2"
drive. there is more leverage with one of these as they are longer than
the lug wrench. What I did was I had a floor jack that the handle fit onto
the lug wrench and extended it to about 2 feet, which was plenty of
leverage.

Have you tried wearing gloves to let the handle slip more easily
through your hands as it rotates?

If your jack is like mine, it's operated by a pinned rod turning a u-
shaped thing with a slot on one side and an oblong hole on the other
side.  You may be able to add a standard ratchet extension to that
rod, or you may be able to find a long jack handle that fits the u-
shaped thing.

Get a socket and breaker bar as Hachiroku suggested, but I'll add that you
should get a 6 point deep socket, not a 12 point socket, which can round the
corners on the lug nuts.

As for a jack, check out Sears or Wal-Mart for an inexpensive jack with an
aluminum frame.  Some come in a carrying case and are fairly light.  I
recommend that you go to a store and try lifting the jack instead of buying
it online.  A bottle jack is light and relatively easy to use, but their
small footprint means that they are not quite as stable as a floor jack.  If
you get a bottle jack, put a 2' by 2' piece of 3/4" plywood to place under
the jack when lifting the car.