Advice Needed: Can I Rent with a History of Defaults and a DMP in Place?

Hi everyone, throwaway account for obvious reasons.

I’m looking for advice on my current situation. I need to move out of my parents’ house due to personal issues, but I’m worried about my credit history affecting my ability to rent.

In the past, I missed payments on several credit cards, which eventually defaulted. Thankfully, I have no CCJs or bankruptcies, and I’ve been on a Debt Management Plan (DMP) for nearly 18 months, paying in full and on time. My credit score has even improved slightly with Experian (though I know it doesn’t mean much).

My main concern is whether my past defaults and current DMP will be a problem during the letting process. I know letting agents usually run credit checks, and I’m feeling anxious about how this might affect me.

Does anyone have experience with renting while on a DMP or with a poor credit history? Are there specific things I should do or prepare for when applying? Any advice or insight would be greatly appreciated.

Thanks in advance!

EDIT: In England