I like cif / own brand cream clenser, as it's good for my baths, sinks, kitchen sink, work surfaces (depends on your material though)
I have a stainless steel sink and you can buy wirewool pink soap infused sponges- they are brilliant for "de-yuckify-ing" the kitchen sink
And those cleaning sponges you can buy - half green scouring and half yellow soft sponge
A general all purpose anti-bac cleaning spray is useful for everyday "5" mins wipe ups
J-clothes for general wiping etc
I do cheat and have the dettol cleaning wipes handy in each bathroom for quick wipeages after teeth brushing etc
A bottle of thin bleach you can dilute at your own leisure
A bucket (always useful!)
Rubber gloves
Kitchen roll
Window cleaner spray for anything glass (or a vinegar and water mix)
Bicarbonate of sofa for 101 uses
And always have in reserve in the cupboard: toilet cleaner, some of those mr muscle -type drain unblocker gels and a plug in air freshner