A darkroom is not required for film processing. Although I have not done so yet the C-41 chemistry seems easy to use and not very expensive at all. You need:
1. a daylight tank for 35mm, many brands to choose from.
2. a changing bag for transferring the film from the cassette to the tank reel.
3. a good thermometer for the color process.
4. a C-41 chemical kit.
Those are the basics and I hope others chime in as well if I forgot anything. I haven't searched but there are most likely good tutorials here that explain the process in detail.
I've done B&W at home for 40+ years and it is easy. Color will be a new venture for me as well.