It must be leaking very badly for you to think of doing this work in today's weather much less plan actually doing it. I'd carry ATF and a sheet of cardboard before trying this with or without the slick tool on the street or driveway today.

Or even pay someone... well maybe I would not go that far.

One tactic you could take if your HF puller doesn't pan out: Pull the housing and cross your fingers the gasket will be as intact as mine was. Replace it with the old gasket and some of your favorite gasket sealer. It can't leak from the gasket any more than it did from the flange bobbing about in a worn bushing and ancient seal. Then if it does leak at all, save the scraping for July.
--
Art Benstein near Baltimore

You feel stuck with your debt if you can't budge it.