I don't think your method is cheaper, I calculated fees on Blocktrades a while back and they were around 5% if I recall. There's no fee getting money into Bittrex, but to transfer onto Bitfinex will be charged, I haven't worked out the percentage accurately on my transfers but it was a lot less than 5%, at least with XRP. But you also have to take into account trade fees. I would guess it's still cheaper.
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Thanks for letting me know. I should look into your method.
Unrelated to your answer, it's nice to use something that @dan created to buy into something that @dan will create. A win/win kinda situation. :)
Do a typical trade for equal amounts using both methods at the same time and see how much EOS you end up with, that's what I do sometimes when I want to know quickly if one method is cheaper. Also the Bittrex withdrawal fee is a flat fee whereas Blocktrades is (or was at least when I calculated it) based on a percentage, so Bittrex would definitely be cheaper over larger amounts.
But your way has the benefit of being through your own wallet so there's also that to consider.