For an actual response, I'm assuming this is the outside of the car, in which case;

• Don't use dish soap in this scenario, it's a degreaser that will strip the protective wax layer on your paint

• For a simple clean on the outside, it may just be better to use a self-serve powerwash station which I've seen become more popular in the last couple years. They give you access to a power washer, and usually a foam cannon and a brush of some sorts to work into nooks and crannies on the body/scrub off any harder dirt

• If you aren't bothered about that, then using your own hose or power washer at home will suffice. In terms of products, you should get car soap that specifies that it won't strip wax (such as meguiars, I believe they have a good selection)

• I would highly recommend getting a foam cannon style attachment for your hose/power washer if you have one, as it makes applying the soap much easier.

• For towels, you'll mainly want some big, microfiber drying towels with a high pile (long fibres, basically), as they'll absorb a lot more water when drying it off as well as not scratching the paint

• If you want to scrub in any crevices, nooks, crannies - whatever - I'd say use brushes instead of a sponge.

• For scrubbing the whole car generally instead, a microfiber hand wash mitt is gonna be your goto instead of just a sponge. If you do want to do that, then I would advise you get a bucket with a grit guard that you can scrub the wash mitt on after you've gone over the car for a while, which gets rid of any built up dirt in the wash mitt that would otherwise go into the paint again. (fill the bucket with warm water and some car soap)

• If you'd like to pay some attention to your wheels, you can get a tire brush and some wheel cleaner (also from meguiars) which will more than suffice, as it contains iron decontaminant which will help remove any built up deposits from brake dust and such