I'm hairy and 46 yo. A couple of my gf's from years ago liked the hairy chest. One would run her hand on/through it for a while - but that's more info than you probably wanted. Anyway, it does seem the tom selleck look has gone out of style. Nevertheless, I have to agree with the gent who said a girl will put up with things like that if she really likes you.
Much higher on their list are several other criteria. For example, two that come to mind:
1. CONFIDENCE. You ever hear about how dogs can sense when you're afraid of them - and that's when they'll attack??? Well, it works the same with girls. They can sense when you don't have confidence in yourself, and that is a HUGE turn off. After all, if you have issues with yourself, why should they accept you with all the baggage you bring to the table? But beware .. overconfidence can backfire - you need to avoid coming across as a self centered egotistic nut-case. Best bet is to learn be comfortable with yourself, which, in your case, means just accepting the fact that you have a lot of body hair and not getting your panties in a bunch about it.
2. HYGIENE: No matter how much hair you have, make sure it is CLEAN. Same holds true for your breath and underarms. At least, that's how it works in the USA.