Hmm. I mean...what's there to discuss? I'd think that you just make an account somewhere else, and that's kinda all there is to it.
Maybe you can set something in your profile on the first lemmy instance to indicate where you went, if you want to have a way to let people know reliably that Account 2 really is Account 1.
There isn't really any mechanism to link accounts natively in lemmy, so not a lot to do in that sense.
I suppose that's fair.
Most of the time, one can find an alternative via lemmyverse.net, which runs a spider and builds a searchable list of all communities on all instances.
https://lemmyverse.net/communities
A Threadiverse-wide community search isn't not something that lemmy makes available, and it's not immediately obvious to new users.
Sometimes, the community name is different -- I was in a discussion the other day where two people were talking about an alternative for "crows", and I pointed out that there's !corvids@sopuli.xyz. And I mentioned that there's no direct "mechanicalkeyboards" equivalent, but that !ergomechkeyboards@lemmy.world does have some overlap. A lot of times, though, there are communities with the same name on different instances, like !linux@lemmy.world, !worldnews@lemmy.world, or !asklemmy@lemmy.world, and so a search on lemmyverse.net will turn them up.