Hello and welcome...perhaps English Paper Piecing would be a good start..it is an accurate method and it will keep you occupied 'til you buy a machine (that's how I started). I then decided time was going to be an issue (lots on my to do list). So I dusted off my machine and haven't regretted it for a minute.
I am a vintage freak, I have a 1950's Pinnock (electric) and am now the proud owner of a 1912 treadle (to be restored in the new year). Old machines are beautiful, and are very easy to service and run...you can often buy them very cheaply.
Anyway, happy quilting, whatever you decide!