Except for the Australorp, all those breeds aren't really good layers. I haven't owned a large breed Brahma, so I can't comment on them except they aren't known for high production. My welsummers and Wyandottes stopped in early fall and I don't expect them to start laying again until March or April. My 7 month old speckled Sussex hasn't started either, and the last one I owned laid occasionally but never really well. You would have better production with some more reliable egg producers.
A good sex link, leghorn, Ancona, or buff Orpington would be a good start, to name a few breeds that lay more consistently. My best egg producers are my buff laced polish, and Ancona, and my EE from this year are really surprising me on production as well, as all my past ones weren't good layers.
Birds over 2 years start to have a more decrease in production. Your best seasons are the first and second.