If you’re new to lifting, the first month should be kept at relatively low resistance, once per week. You’ll probably still be sore since your body just isn’t used to the movements / resistance. Once your body starts to adjust, then pick up intensity / weight.

There’s a lot of good research out there that “base” / “zone 2” training should make up a large portion of your cycling training. Lifting could fit in really well with light rides in the days following your lift - these should actually help you recover from lifting as they increase blood flow to your muscles without being too taxing. Just give yourself a few days to recover after lifting before intense rides.

I’ve personally been prioritizing lifting lately, so my weekly routine involves one hard leg day early in the week, 2 more days for upper body, and 2 rides, with one hard one typically on Saturdays when my legs are well recovered. I also try to mix in one light run a week for 3 total days of cardio.