"...as you are a tyro, you will be playing mostly at home" - that doesn't follow.

I use an Intellituner - very small, chromatic, and you can adjust the pitch if you like (say if you want to play along with some instrument that isn't quite in standard pitch); and one very handy thing about it is, it switches itself off, so it saves the battery if you forget to switch it off yourself.

In England it costs about £16.