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you buy them in the MEW (my ether wallet).
so you leave them there.
then there is a period of time to wait until they can be moved.
either to an exchange, where they can be traded or exchanged.
or to cold storage, a paper wallet. ( i have yet to find out where the paper wallet machine can be downloaded)

or you can leave them in MEW indefinitely for holding. MEW is really secure.

Thanks so much for this. Gonna send you a couple SBD for the tip. I wrote a post asking these kinds of questions and offering a reward for some wisdom on the matter, but got mostly disjointed answers. Anyway, this helps me.

By the way, Kraken is trading EOS now, too, so I suppose I could leave it there, although that is not a very safe or secure option.

Anyway, 2 SBD on the way. Cheers.

and bitfinex

hey kafka, yes Kraken not safe. or any centralised exchange

cheers kafka. thank you