One of the best things you can do is to talk to the other members of your club. Most of them will be only too pleased to show off their kit and even allow you to try it out. And of course this is without any sales pressure as you might possibly get in a shop.
Many rifles today are up to the mark for what you are seeking; it will depend to a significant extent on what fits you and what you are comfortable with.
Club members tend to keep kit they like and enjoy, and move on any kit that doesn't fit the bill.