I am in Missouri north of the river, so we experience temps like yours and a bit colder. I absolutely canNOT sleep if I worry that my chickens are shivering - and yes, I've got three right now half naked with temps in the teens forecast this coming week. (I wonder too... what the heck are they thinking?!?!?) I have 42 birds in a very large (8' x 22') converted camper coop.
So yes, I do heat my coop when the temps dip below 20-deg-F. My goal is to keep the temp inside the coop at 20-30 degrees, no more, no less. They can roam outside if the cold is to their liking, but they can also escape inside to warm up if they need to. I let the chickens show me what they need. Now... when there is a snowstorm going on (or just passed, and the wind and temps tank to arctic numbers), I may keep the birds inside 24/7 for as long as a week if needed. There's plenty of room, plenty of ventilation, fresh unfrozen water and food... so no need to risk frostbite outdoors.
I use two heat lamps. Yes, heat lamps. Very well secured by two separate methods, and out-of-reach. There is no way these things can fall or get knocked loose. They are powered by brand-new outdoor cords, sealed dry connections, surge-protected power strip, and a GFCI outlet. Yes, coop fires can happen, but I believe most are due to faulty installation, improper/sub-par materials, and poor maintenance. Electricity is no joke.
Well, anyway...
I have two of the heaters linked in this thread, the oil-filled radiant heater and a smaller flat-panel heater. Both work wonders. However, I only use those heaters when brooding chicks in cold weather, in a tiny 'nursery' coop. You mention that your coop is tiny, so I would not go with your brother's suggestion; your flat panel 100-200-watt heater will be FINE. The brother's oil-filled heater is 700-watts; too much for a tiny space. You don't want to HEAT the space, you just need to knock off some of the chill, right?
My small flat-panel heater heats a 4'x7' coop with baby chicks just fine (and for this purpose, I do need to *heat* it, not just knock off the chill). On the coldest nights I may give them a heat lamp as well depending on their age. Checking on them at 2am when temps are 15-degrees outside, I see the thermometer inside hovering at about 45-degrees. I see the babies huddled around the perimeter of the heat lamp and near both sides of the flat panel. Cozy and happy.
As for grown birds, you would be surprised to know how well feathers can insulate. About as well as a goose-down comforter
As others have said, the key is proper ventilation. It cannot be emphasized enough. You see (BTDT), if the vents are closed, humidity builds up from the chickens' breathing and droppings. Humid air causes frostbite quicker and at higher temps than dry air. Keep the humidity LOW as possible, vent the warm moist air UP and out, and your chickens can handle temps lower than you realize. Keep them closed up and semi-warm, and as soon as they venture outside into the frigid air, they'll get frostbite.
So... vent the coop near the ceiling, but provide supplemental heated *areas* at the floor and roost areas for them to hover near if needed and to take some of the chill off. Let them choose how much heat or cold they want.
I keep reminding myself of a visit to Canada in January. We vacationed for a week in a log cabin with no electricity and no running water, to ride snowmobiles and play cards. We heated the place with a pot-bellied stove and wood, and melted snow and ice for water. We had a blast. Whiskey helped. Well anyway, one day I went outside to talk to my brother who was repairing one of the skiddoos. In my T-shirt. The temp was about 20-deg-F, no wind, sunny skies. I was COMFORTABLE for about 20 minutes or so. I can't do that in Missouri; the cold would be brutal after only a few minutes. You see, the difference is HUMIDITY. Dry cold can be tolerable, as long as you don't expose your skin to WET and WIND. Damp cold is dangerous. You see?