The only way to permanently get rid of them would be to have chemical peels and laser therapy but to make them less obvious there are a few things you can use. Vitamin C will brighten them so if they are like red/dark looking this will help.
Azeliac Acid will also help to brighten the look of them making less obvious.
There is also a cream called fade out that’s available in boots etc.
You could also do your own mild version of chemical peels at home.
Also with a lot of research you could use a dermaroller at home it will stimulate collagen production but this will only help with scars that aren’t raised.
When using products like vitamin c and acids it extremely important to remember a good sunscreen as they make you more sensitive to uv rays.
I would go to a salon firstly and get some advice. There are lots of peels out there, Dermaquest have a really good range. Otherwise a course microdermabrasion would help as it really helps skin renewal. Otherwise there are lots of products out there. I would recommend Kiehls and decleor. Decleor do some amazing facial oils that help with scars but you will have to be patient with this method.
@Cierdh I have these as well! Mine have ended up red patches mainly on my chin area. I've been using a dermaroller that I picked up from TK Maxx and bio oil twice a week. They improved massively at the start but seems to have slowed down - if you find anything that works let me know please. Like you it's the only thing stopping me from going make up free!
I don’t have scars on my face but I have them elsewhere and I’ve found glycolic and salicylic acids really help. I’d use an AHA/BHA serum and later use a face oil. It doesn’t have to be anything fancy, both the serum and something like a rosehip oil from The Ordinary will do just fine and not cost the earth.