Things to Google and read about in depth:
Color temperature: it sounds like you're using a warm incandescent bulb now and you probably had a cooler, bluer "daylight" temperature bulb before
Manual white balance correction: depending on which camera you're using, there should be either a specific color temperature (in ยบ Kelvin) you can set, or a basic description like tungsten (very orange street lights and incandescent bulbs), full sunlight, florescent lighting (usually has a green cast in photos), cloudy day and shade (usually much more blue tones). There's an auto setting that usually does an okay job. Then finally you manually make a precise adjustment by taking a single shot of a white piece of paper and tell the camera "this should look white" then it'll calibrate based off of that.
Shooting raw & correcting in post: When you shoot JPEGs, color information is baked into pixel groups during the compression process. You can adjust the color later but you lose some image quality. If you shoot raw instead of JPEG, the color information is stored differently and you can do a lot of color interpreting without degrading quality. It may be no big deal, but it is a great benefit of raw photo development that shoe balance can be done entirely accurately later with no image quality loss.
Hard vs. Soft light: A single bulb provides hard light because it's a small point of light and produces sharp, distinct shadows. If you pour a lamp shade over a bulbit "softens the light" by making the illumination source more broad, this shadows are softer and less pronounced. It's eat to make good quality light modifiers by bouncing light of of a broad surface like an adjacent wall or ceiling, or off of a reflector or a softbox of some kind (the grid helps control light from spilling of your subject but that mint not be necessary). Even a lampshade can help here.
DIY product lighting: there are dozens if not hundreds of great articles and YouTube videos on creating exactly what you're trying to set up for very little investment. There are inexpensive products on Amazon, and there are cheap ways to make a lighting rig with materials you probably have laying around the house
Good luck!