I edited and sent them a story yesterday that has already been rejected by Grimdark (6 weeks) and Strange Horizons (9 days). It will likely be another rejection but I'm treating it as a bit of an experiment. The themes I prefer to write about are fairly constant (different situations, applications of those themes etc. aside, of course).
Grimdark's rejection was personalised and quite complimentary, even going as far to apologise for the time it took to respond but they were on the fence about whether to hold on to it or not.
Strange Horizons, however, lowest tier form rejection...
So I'm trying Lightspeed and aiming for a 'show more' response while I try to put a list of markets together on the 'try first' pile.