Meguiars 3 stage is a very good quick fix, as aer things like black hole etc. they actually use polymers to fill in the scratches and swirls giving the effect they have disappeared. The only real way to remove them is via machine polishing.
Prevention is also better than cure, so learning a good washing technique to prevent the swirl marks is always a winner.
Basic rules:
No sponges - use a microfibre wash mitt.
Use 2 buckets - one for wash solution, one to rinse you fibre out
Dont use circular motions top clean - left to right
dont press down on the car - you should pre rinse to remove most of the muck, shampoo conditioner should then help your microfibre glide across the car.
Dont use microfibre towels to wash - the pile is not deep enough.
Anyone who wants to learn how to care for their car correctly, i do training courses at very reasonable costs!
HTH
Cheers
Mike