Will losing weight make my heart rate go down?

So I’m overweight. Not obese, but about 20lbs overweight according to my BMI. I’m 20 years old and my resting heart rate is around 77-80 bpm. Which I know isn’t horrible, but still heart disease runs in my family which has always been a fear of mine so I would love for it to at least be in the 60’s. So if I lose weight will that make my heart rate go down some? How much cardio should I be striving for? Right now I don’t get much exercise at all.