a piece of advice. you can just settle with your current guitar and practise and practise, until you think you needa acoustic guitar because you want a new tone. for some people, they simply hate classical tone but for some, they love the crunchy sound it produce. it all boils down to your personal preference, hence, since it's just for practice, i suggest you do it on a classical. because when you move on to acoustic or electric, they have a much lower action and you'll find it even easier. who says you can't do taylor swift songs on a classical? you can do in on any instruments. a classical, a acoustic, a semi-acoustic, an electric, a piano, a violin. it is just a matter that talyor swift herself uses an acoustic. but it doesn't matter, a tune is still a tune. so taylor swift's using a talor guitar. do you mean that you have to buy taylor swift's particular taylor model to cover her song? dang! then you must have many guitars to own, in order to cover various bands that uses different guitars. now there goes your answer for your question regarding your classicals covering the songs.
cheers.