Now that is awesome, I myself learn fast, but i will never call myself a prodigy , i learned all the fingerings the first day i got my violin, learned vibrato in my first week, and finished amazing grace on the same week.... on my second month, i learn some pieces like mostly from Paganini, but i did all of those fast because i had no patience ......and i mostly have nothing to do but practise.... Plus, most of all, the pieces i learned are literally pieces like fragments.....that's when a lot of members here encouraged me to take it all slow to learn a whole piece....so that's what I'm doing right now, I'm still practising something that is very hard, but i am now focused on that single piece, and do everything, no matter how long it will take, just to master it.

Now, for the strings, I would recommend "overture ultra"....they are great! I wouldn't say that they are cheap, but good strings are expensive, but i will say they are the "cheapest of the expensives"(oximoron ) , and for the bow, you can try a very flexible yet durable carbon fibre bow from the fiddlershop (www.fiddlershop.com)