So many stripes! Help please?

[kkatt82]

OK, I'm a newbie to knitting and I started working on this project last night. I thought it would be a great one to try since its so simple... garter stitch throughout and its all made in one piece then you sew up the seams.

My only problem is how the heck do I change colors EVERY row? Would it be easier to cut each yarn off after each row and weave in ALL those ends later? Or should I keep all the yarns attach and carry the extras up the seams? Its alternating 5 colors over 5 rows so I'd be carrying the yarn up 4 rows... I don't know if that will look like crap or if it will be hidden when I sew up the side seams?

Any advice would be SO appreciated