Contraception for 37 year old obese woman

[HealthConcerns]

Is there anything I'm likely to be allowed? I can't have the coil, this I know from asking before. I know they don't give the combined pill out if you are over 35 and much less likely if you are obese so that is out too.

I thought I'd be allowed progesterone only contraception but talking to friends apparently not. Would like an idea what I'm talking about before I head to the GP or contraception clinic.

Blood pressure is normal, bmi of 36. Heavy periods and mild anaemia. No allergies or previous DVTs though I have had a superficial clot in a varicose vein I no longer have as has them removed.

Me and DH for various reasons have decided no more children, he doesn't want a vasectomy. We've used condoms for around 9 years but I'm fed up of them now and would like to be able to have sex without having to stop and think about contraception. Plus if it helps with the heavy periods that would be great.

Thanks in advance.