Clairol's Happy Shine in Clear (meaning, no color...just shine) WILL strengthen your hair and make it shine more. Available at most any drugstore in the aisle with the hair dyes and other related hair products. It is supposed to last a month; but I wash my hair almost every other day as I swim alot, so I figure 2 weeks for me.
However, this type of product DOES strengthen the hair shaft and keep it from breaking so easily.
Chlorine in a pool, by the way, is the fastest way I know to break your stands of gray/white/silver hair as it is do darn drying. I refuse to wear a bathing cap, but a ponytail does nicely on top of your head for long hair...you may look a little like a fool in the pool, but your hair comes out better.
If you want to save some moola, go to a beauty supply house like Sally's and buy it cheaper. No fancy box or instructions, so you save money. Just a tip.
I'm hoping if my hair is shinier, someone male will run their hands thru it...snort!