Best full coverage bras with substantial padding? Help!

Hey everyone! Please share any bras you’re in love with, but specifically I’m looking for this:

Full coverage (gone are my days of caring about cleavage and low cut shirts, I’m tired of the girls popping out and I just want comfort)

ALSO, the critical part: substantial padding! I don’t want push up, I don’t want like 3 inches thick super uncomfortable rock hard nonsense. I also don’t want unlined or super thin. I’m in love with the jockey bras, but the full coverage ones are so thin. I live in a very cold climate and I feel like my nipples are just about perma-hard anyway. I don’t want any nip visibility through my shirts. Like a medium padding would be perfect. If that makes sense.

Does this exist? Please help.

Not sure if this matters but I’m currently a 36/38 D (depends on the brand)

Thank you in advance. But seriously if you have a bra you love that doesn’t sound like this, also share that and why you love it! I used to only buy bras at Victoria’s Secret, how awful, I now realize, and bralettes from American eagle. Then I had my first child and was rocking only target maternity and nursing bras. Then I went to kohl’s and discovered Jockey bralettes. Those I thought were the greatest thing, but I can’t live in bralettes, so I got a few actual bras from the website, which have been so soft and comfortable, but I nearly constantly have to worry about visible nips through my shirts.