Where I fish, the trouts weigh probably less than 3 lbs. My favorite ultralight fishing line is 4 to 6 lbs with No. 10 or No. 12 hooks and Salmon eggs.
I get too much line breakage if I go under 4 lbs. If I go "heavy" to 10 lb line, I never lose a hook, but also, the fish see the line and I get no bites. This in high, clear and cold mountain streams of the California's Sierra Nevadas.
So what's the answer for you? Look at how much your fish weigh. If they break your line and dissappear, your line wasn't strong enough.
Only 3 hooks? Good heavens. I've got a hundred(about) yard spool of 6 lb. Spider Wire, 50 assorted small hooks, dozens of small split shots, some hooks on monofilament leader, and am scheming to add either flies or artificial lures for when I can't find live bait.
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We have all discovered the sub one foot telescoping/collapsing spinning rods, haven't we?