For silent operation, I like a portable oil filled radiator type heater.  If you just want to keep your bedroom warm, one of those will do the job.   They are best placed under a window to assist with circulation of the heat (no need for a fan), but will keep a room toasty regardless of placement.

We have a like-new Pelonis with analog controls.  It has settings for low, medium, and high heat, along with a thermostatic adjustment dial.  They also come with digital controls.  I found ours in a thrift store but you can buy new for about triple the price I paid.  A portable baseboard unit would deliver similar results, but they're bulky and not as common.

As I've mentioned before, at our previous house we had a Williams wall heater in the den, which had a high vaulted ceiling.  The heater had no fan assist.  I stuck an 8" Vornado air circulator set to low speed on the floor in a corner behind a club chair and aimed it vertically.   It prevented the heat from hanging in the top half of the room and kept it comfortable in there without any hot or cold spots.  I highly recommend doing this in both your bedroom and living room, and if possible, moving the thermostat to an area away from the furnace.  Even if you have to run exposed wires, if you relocate the thermostat, that, combined with the small fans in each room that will make a big difference and perhaps eliminate the need for a space heater.

ALL portable electric heaters draw the same 1500 watts, they ALL put out the same amount of heat, They ALL cost the same thing to operate [ a lot ] .

Hi Thomas, What kind of A/C does your apartment have ? If you happen to have Through-The Wall A/Cs of around 26"X16" you can easily pull one out and slide in  an A/C that is also a heat pump and these usually have back-up resistance heat as well.

With one of these units you can be VERY warm and when operating in the heat-pump mode they put out 10-12,000 BTUs  [not the 4,500 of a portable heater ] and distribute around the apartment much better, and only cost 1/3 as much to operate in the heat-pump mode, which is all you really would in Southern California .

My coworker Jason used two of these units to heat and cool his two level town house and he not only keeps it at 72F all winter but also has an electric bill much lower than most of his neighbors.

John L.

I'm sure Thomas is still sleeping....

Dave, yes his apartment is much older, but updated cosmetically inside so it doesn't look nearly as old as it is.  There was problem with the wiring earlier this year (or late last year) and the landlord had to bring in an electrician to rewire the majority of the apartment, as I recall.

Thomas, I agree with John about the heat pump unit being your best option.  With the size of your rooms, no single space heater (in each room) will be able to achieve and maintain the temps you desire (I'm sweating just thinking about it, LOL).

Kevin

And we're roasting alive here. We are getting so much heat I actually had to open all the windows and open the terrace door last night. I have only ONE heater, rarely used. A Bionaire - Ceramic Tower Heater with Remote Control. Model:BCH3620-U. So old, it's no longer made, but I am sure there are modern equivalents. I mention it because the heater has worked flawlessly all these years.