I confess I don't know what fingerstyle acoustic (with electronics) means, but in depends on what kind of music you want to do and how you want to do it (i..e. just straight ahead as if listening live, or do you want certain effects etc) and how high of quality you want it to be. If just posting on youtube is it, it doesn't have to be all that IMO.
Generally you'll need a "DAW," which is simply the software to record the music. Most DAWs have plenty of functionality and extras that come with it, but as to which is best, there is no right answer; you'd need to try them out to see which fits you best (most have trial versions).
Hardware-wise, you'll need:
- An audio interface
- Speakers
- At least one or two microphones
- Headphones
Of course there are 1000 choices in brands, features, etc but I suggest you read, read, and read some more before buying anything. Long story short, even the low-cost stuff is really good now, so don't fall into the "you get what you pay for" BS because that's all it is. Likewise for software. There is some really good stuff out there even for free.
That's the basics. You can go as deep or as simple as you want with it. Again read up on it in general for more info. Plenty of articles on the internet!