Yeah, I think everyone has steered you in the right direction!
Bleach is just bleach - it doesn't matter what brand. However, there is both 'thin' bleach and 'thick' bleach, and the bottle size (for both) is tall and narrow - I've not seen it in the gallon size with a fat bottle like you'd buy for Clorox (doesn't mean a bigger bottle isn't available somewhere). I use the thick bleach for cleaning the toilet & also diluted sometimes for something that you want a bleach/water solution for.
You know we have all the different distinction about laundry detergents here? The biological, and nonbio, and all that stuff?
For a spray bottle to fight mould specifically, I buy a product called Dettol Mould and Mildew Remover - it's in a green spray bottle. You can probably find other brands but this is perhaps the best known one.
No Mrs Dash, I'm afraid. It's either bring it with you, order from the American import sites, or buy herbs & seasonings & mix up your own! (I'd probably do the latter, but everyone is different, of course.)
Combi machines, your mileage may vary. I have a fantastic combi - it's a Miele, which is an excellent brand - and unfortunately, a pretty expensive one as well. However, to save energy, I tend to only use the dryer function for towels and for when I can't get things dry in a reasonable time by other means - outdoor clothesline, indoor airing rack, etc. If you don't have a tumble dryer, you could have the clothes go an extra spin perhaps to get more water out. Also, others report good luck with placing their airing rack near a dehumidifier & that sort of thing.
You may have other questions as you go along - don't worry about it, just ask!
A lot of this process is that you don't know what you don't know until you run into it & realise you don't know.