Your keyword would be "DAW" which stands for Digital Audio Workstation and fortunately for you, you can do all the work digitally :D
You can still add your own recordings, but if you don't have a good mic like me, you will have to process the recording through many effects and mixing mastering stuff in which you can do with your DAW again.
I'll just put a link that describes some of the best DAWs on the market, you can choose one, but ofc you won't be able to pay that much if you're just looking for basic stuff.
This is where torrentz.eu steps in, I don't encourage it but shit's so expensive :D
Here's the link:
http://www.musicradar.com/tuition/tech/the-20-best-daw-software-apps-in-the-world-today-238905
I don't know many of these, I use FL Studio, which is much more simple than Cubase or some other ones.
I'd suggest you FL Studio as well, but if you like any other more, go for it ^^