I was thinking of recording with my headset because I dont have a microphone at the moment. Just asking for advice. Also, I would like to know what software will I need to mix and edit my songs. Thanks
I agree, definitely try to get a mic as soon as possible. I recorded my first cover with my headset but the audio quality was not good or consistent, so after that I bought myself a mic (I use Audio-Technica AT2020).
For software, I second the suggestion of Audacity. Reaper is also free (it will have a pop-up window when you start the program that asks you to buy it but you can say you're still testing it and keep using it for free indefinitely). Garageband could be an option if you've got a Mac.