Similar background (but male) and found the transition to cycling very encouraging because the workouts/rides just don’t beat me up the way running does. This meant I was able to build up mileage and time on the bike quickly without the injury concerns I had while running. Also found cycling to be much more social, so you may want to consider finding a local team or shop that does regular rides.
On the flip side, a couple of years ago I went back to more running after mostly cycling for about 3 years. My hip flexors were really tight and, although I was still strong aerobically, I struggled with speed work. The range of motion for cycling is much smaller, so it’s easy for me to get rather tight and lose flexibility.
Lastly, have fun!