General home cleaning
1. Organise your loose stuff first. Books, toys, electronics, anything loose, stow them away and try to have as much surface area on both tables and floors open.
2. Dust all flat table surfaces. You can do this with a feather duster or a damp towel and a spray bottle of your preferred cleaning solution. I personally like to use eucalyptus solution, it has a sharp smell at first but it quickly dissipates.
3. Deploy your vacuum cleaner. I like to mentally section off parts of my rooms and vacuum in rectangles. Wearing socks can be pretty useful here as it can mop up dust while you move around.
4. If you've got wooden or tile flooring, bring out your mop and follow through. Wear sandals or indoor shoes to avoid getting soggy socks.
5. Allow your mopped floors to dry. This is a good time to go clean the bathroom or reorganise your closet, or just kick up your feet and relax for a job well done.
Bathroom
1. As a general rule, clean your bathroom once a fortnight and your shower stall/bath every month. If the latter is prone to "pink" grime, clean it in the fortnight as well. If you are also cleaning the rest of the house, do the bathroom before you vacuum and mop.
2. Clean methodically from top to bottom, the bottom being the toilet. Start with any mirrors, using whatever glass cleaning solution that you have on hand. You can use wet-wipes or spray+towel for any cabinet fronts that you have.
3. Use a hand scrubber/hard brush for shower stalls, and a scourer/sponge for baths. Fill a bucket with warm water and your preferred cleaning solution (make sure it's tile-friendly) and scrub between tiles, eliminating grout before it can get established. If it's well entrenched already, you'll have to seek more specialised solutions for it, so just sud it up briefly and wash down everything with your showerhead or several buckets of water thrown in.
4. Use an old toothbrush combined with bleach+solution to clean drains. Make sure to always have rubber gloves on when handling bleach. If you can, bin any hair or foreign objects found on the drain.
5. Use an forsaken towel or disposable wipes/towels combined with antiseptic solution for toilet surfaces. Before you start wiping, apply toilet bowl cleaner and pour a bit of bleach in.
6. Once you've finished wiping down the toilet, flush the toilet and rapidly poke the toilet brush down the pipe while it's flushing (gloves are good here). If your bowl is already stained, brush a little harder with the toilet brush and apply some more bleach. Flush again once you're satisfied.
7. Clean up and bring in your vacuum and mop. Try to use a brush attachment with your vacuum.
That's all I'll do for now, if people are interested in similar tips on the kitchen I'll post it later.