While I've never used Tuff Glide, I do oil my blades after shaving and I use Ballistol. Since it's 'today' and not the days gone by I take advantage of modern connivance's like 'electricity' to help dry my blades. I use liquid dish soap to remove any residue from the blade as I've found that many shaving soaps do leave a residue/if you don't believe me just rinse your blade as normal then while it's wet slide your fingers up and down the blade, then apply a drop of the dish soap to each side apply some water and work it in, then rinse again and I do believe that you will then find the blade 'squeaky clean'

Back to drying the blade. After the washing I dry the blade with a towel then use a blow dryer to make sure any moisture is gone from the edge and blade in general. I try to do the same at the pivot but very carefully as I don't want to get so much heat as to affect the scales.

After a couple of minutes I apply a drop of the Ballistol and use a piece of toilet paper to coat the blade and edge.

When I'm ready to shave, I rinse the Ballistol off with hot tap water, then wipe the blade dry, strop and shave.

This works for me, perhaps it will work for you.