I'm guessing that by "bicycling here and there" you aren't doing all-out roadie fitness riding or mountain bilikg to an exreme degree.

I've had some satisfaction using a chest rig from Hill People Gear. I also looked at something called a Rhodesian Runners rig. My HPG rig works well for biking, X-C skiing and hiking with a small or large ruck or backpack. Several sizes available.