Archer Season 8 deputed last week on April 5th.
House of Cards Season 5 comes out in the end of May 2017. I can not wait for more Robin Wright / Claire Underwood.
Silicon Valley Season 4 comes out April 23rd
Doctor Who (who knows what season number) comes out April 15th
Veep is April 16th
American God is coming out April 30th (so not looking forward to this I adore the book and I know my odds of being impressed by a tv series / movie / etc adaptation of a book I love is small. That said part of me is optimistic just a very small part.)
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Anything else I forgot to mention that is coming out in April or May? The reason why so much "quality" tv comes out april or may is that to qualify for the Emmys in this year you need to have some of your show come out before May 31st and the whole show by June something to qualify for the awards that are given out in Sept 2017 at the 69th Primetime Emmy Awards (this year 2017 it is planned to be hosted by Stephen Colbert).
I hope Better Call Saul is enjoyable this Season and keeps up the good writting and acting.