I bought some parts of this deal recently as a quick kit away from something better. The bucket is okay, cheap enough that having two is a no brainer to reduce contamination of the shampoo bucket. The microfibres I got with a mitt, they're very cheap and nasty. The shampoo itself foamed up in the bucket, but even using vastly more than they suggest, it barely had any suds on the paintwork, and felt akin to using no shampoo at all. I won't even bother to use the remaining shampoo. Overall, yes it will rid your car of dirt, but it will not leave it looking glossy wet, or stay clean for very long. Along with this you'll be damaging your paint with the sponge (although it's something I use on wheels and it's fine for that)
Good for you
You're the one mentioned washing up liquid,I buy pro valet trade stuff at £20 for 5 litres.
So buy shampoo then
Good enough kit to wash the windows on the house - buckets are quite handy but would not use any of it to wash the car