hen and chicks
For succulents, your plant light should ideally provide a brightness of around 2,000 to 3,000 lumens, and the light should be positioned close to the plants—about 6 to 12 inches away. You’ll want to use a full-spectrum grow light that mimics sunlight, ideally with a color temperature between 5,000K to 6,500K, which replicates daylight. This helps your succulents thrive indoors, as they need bright, direct light to maintain their compact growth and vibrant color.
I would recommend taking a look at these articles on the subject, as they will have much of the information that you are requesting.
Should I break them off?
Unfortunately, your photos did not come through. I am unable to see the issue at hand. I would, definitely, not take them off unless they are drying and dying. In that case it won't harm the plant to remove dead materials.
This could be due to the specific cultivar. There are many types and many forms. If you know that this is not supposed to be happening, and you have one that doesn't usually do this, then you might look to crowding or compacted soil. Though they will take a bit of crowding and being root-bound, they might start to show signs of stress if it is too much.
Here is an article that may help you to care for your plants:
https://www.gardeningknowhow.com/ornamental/cacti-succulents/hens-chicks/growing-hens-and-chicks.htm
https://www.gardeningknowhow.com/ornamental/cacti-succulents/hens-chicks/growing-hens-and-chicks.htm