I wouldn't get too flustered about cleaning products, I've just got rid of a black bag and a half of things I didn't need since getting a steam cleaner four years ago.
I do this...
Kitchen diner - clean surfaces/cupboards/doors/appliances/table with dettol, steam floors, use the steamers window attachment for windows. Bicarbonate of soda mixed with water left overnight all over the oven, if that doesn't work white vinegar in a bowl and oven on for half an hour, clean when it's cool enough... Removes it all. Dettol and fairy liquid over extractor fan and splash back/tiles. Service wash on the washer. Duster over ceilings, blinds and anything not in reach.
Lounge - Hoover everything, fabrics (throws/cushions etc) in wash, I steam our leather couch but I'm the only person I know who does this as apparently can damage it, dettol over surfaces, duster on ceiling, steam floors, steam windows. - I do the same in bedrooms.
Bathrooms - bleach down toilets, spray dettol on everything to clean, I use toilet paper to blot in some neat bleach on any bits around the seals that are looking discoloured (I leave that overnight), once everything cleaned inc walls I'll steam everything again and put a hot kettle down the sink and bath, clean door and handles on way out.
Stairs/bannister hoovered and steamed, carpets I'll run the steamer over to freshen up. Lights dusted, oven I'll really go at using the steamer once in a while. The shower is steamed and gleams.
The cleaning part of a household doesn't have to take an age, I'm a big fan of my steam cleaners due to ease and less nasty chemicals near my kids. I can deep clean my house a few hours with a brew now I've got a routine, if you can tackle any clutter and have a home for everything then cleaning won't take as long as you think.