Had two small fender benders today and want to pay without doing through insurance

So yeh, I'll think I'll have to to take full responsibility.

One was parked on a double yellow line but I also was when I pulled in after the first bump.

My only "excuse" for my carelessness was that I was driving a courtesy car much bigger than mine that I wasn't used to . I reversed into car behind me while attempting to park and slowly hit his bumper .

He came out , told me what happened ( in broken English ) and then said to park in space in front.

In panic , I did but when I did i hit the park break button and it obviously didn't engage and rolled forward into ANOTHER car.

So yeh, cops came and did their part. Exchanged insurance details.

But honesty , due to the circumstances, I think the best option for me is to just pay both parties out of my own pocket. I have explained this to them .

One of them has agreed already .The other is going to get a quote and get back to me.

Is there anything I need to do to protect myself if I decide to just pay them myself?

Like a written agreement they can ensign? What's to stop them just going ahead to insurance anyway?

Any advice welcome and yes... Im fully expecting the incoming " you shouldn't be driving" comments.

Please be gentle..it's been a day.