First and foremost, very nice work! That's a job to be very proud of!
As far as oils go, I guess any oil is better than no oil at all but with that said, I'm with Neil on the use of Ballistol, I've also used WD-40 but I like the Ballistol better. They both go on very nice but I think that the Ballistol rinses off easier and besides I like the smell!
I know that it's widely available in Europe and the states. The unit that I prefer came with a manual squeeze squirt-er but I don't use the squirt-er, I just remove the cap and apply some on an old piece of t-shirt, gently wipe it on spine to edge so that it's well covered this is done after I've made sure that the razor was cleaned, rinsed and completely dry! Amazon has a 16oz can for about $12 plus shipping.
Again, nice work!:rock: