You know what. You don't need any special bulbs for the coating. The screens only need to dry in the dark. I coat screens out in the open in the shop and about 3 feet away from a giant skylight. I've never had a single problem not in 15 years of doing it everyday. Now if it takes you 15 minutes to coat a screen you might get some exposure or if you do it directly in a sunbeam coming through a window, but really, emulsion is pretty slow acting all in all. The added bonus to coating under normal lights is that you can see what you are doing and can catch mistakes in the screen coating more easily. Trust me you love it.
When I first started, the guy who sold me my exposure unit said I had to use the red lights you mentioned (in retrospect, salesmen are usually not the people to get technical advice from). This was essentially like working in pitch black to me, so I switched to the yellow "bug light" and can see fine now (takes a minute or two to reach full brightness), take my time coating screens/mixing emulsion, and coated screens are safe to hold up to the yellow light to make sure emulsion is coated evenly, no pinholes, etc..
The kind I use is regular bulb shaped, I'm fairly sure it's GE brand, either 40 or 60 watt.. haven't changed the bulb in over a year
I have a table lamp with a yellowish shade fitted with a regular old 40W bulb. I pull the shades on the windows and coat without problem. Coating in adequate light is so much easier. I used to think coating screens was the most difficult part of the process when I was doing it in near dark.