For most cleaning you only need hot water, some detergent and a cloth. You don't need expensive anti-bac products or fancy gadgets.
Get a bucket if you don't have one, some rubber gloves (you can tolerate very hot water when wearing rubber gloves without the risk of scalding yourself), and a mop - I have a Vileda super mop as you don't need a special mop bucket.
Detergent - something simple and cheap like Stardrops is perfect. Don't use washing up liquid as it can leave a film which feels sticky if you use it for cleaning. Use as directed on the bottle in hot - not just warm - water in a bucket. Dunk a cloth in, squeeze it out well and clean then rinse, squeeze and repeat.
I like washable cloths - microfibre ones are good and things like old cotton tea towels are great. Don't try to clean using a sponge scourer pad! I just use the same cloth to clean my kitchen then stick it in the wash, but if it got greasy gunk on it I'd get another one to carry on with.
Start from the top and work down, so clean cupboards, then splash backs and work tops, base units then finish with the floor. Change the water in your bucket if it is dirty or no longer hot.
You can use a dry cloth to polish off/dry to stop things going streaky as you go along.
If your units are greasy, sugar soap, which you can buy in a trigger spray or as a powder and make up to a solution in a spray bottle, cuts through grease brilliantly without giving off nasty chemical fumes. Spray on, wipe over the greasiness using some pressure then rinse your cloth in the bucket, squeeze and wipe over the area you've just cleaned.
For the floor, sweep with a soft broom or vacuum up any bits first. Put some very hot water in your bucket and detergent. Dunk your mop in, squeeze out excess water well and clean the floor. Work methodically from the corner furthest from the door, section by section going back and forth pushing the mop over the floor. Stop and rinse it in the bucket then squeeze it out frequently. This should mean you are not just pushing the muck around.
Work backwards to the entrance to the room. When you have finished, leave the floor to dry before walking on it. Empty and rinse your bucket. Rinse your mop - this might be easier in a clean bucket of hot water then over the sink - squeeze it well then put it head up to dry. This should ensure it doesn't get smelly.