I always need to catagorize stuff to make it easier to understand. You have had several great recommendations but they fall into two categories: 1) hardware and 2)software or 1)interface and 2) DAW (digital audio workstation.

For the former, I used aFocusright Scarlett 2i2 until I got my POD 500x which has an interface. It served me well and is cheap. I think I paid about $100. You can either plug your guitar into it, which is what I did, or mic your amp.

for the software I use Reaper. Again, it's cheap ($60?), and has all (more) the functionality I will ever need. Plus you can use it for some time period (3 months?) before you have to pay for it. There are lots of training videos on their website.

good luck!