It isn't necessary to have lots of equipment. You will find useful a catch bag, tickle stick, gauge, an extra 2-3 lbs of lead, a dive light, permit, and patience.
I attached my gauge to the end of the tickle stick, and attached them both to my flag line holder with two big bolt-snaps on the end of a 2-foot line. The bolt-snaps act as an anchor for the flag line if I lose my grip on it, or disconnect the tickle stick/gauge. I haul the flag by holding the tickle stick, even when I'm not lobstering.
During the day, you'll find lobsters hiding in holes that they or a similar-sized predecessor excavated under rocks. You can use the tickle stick to coax them out, or reach in and quickly grab them, risking your fingers in the process.
Lobsters and their hiding spots are matched in size, so if one is taken from its hole, another similar-sized bug will take its place.
Underwater, lobsters always seem much bigger to me than they really are, so I learned not to bother trying for one that seems "big enough".
If it's legal to do so where you are, go out at night when the bugs are active. You'll find them next to rocks, between them, on top of them, and cruising the sand flats.
These are just some ideas and things I've done. I'm not an expert lobster-catcher. I've spent a good deal of time looking for them, but only caught a few - never one big enough to invite home. My home state (CT) just doubled the price to $120 for a permit, so I won't be lobstering this year.
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Joe P.