Your desire to 'do it correctly' is commendable. I'm reluctant to tell you to work in your electrical service panel for obvious safety reasons. You need to judge for yourself whether you need professional help with such a project.
Here in the Seattle area, two ground rods are required due to soil conditions. If I bought an older home with no existing ground rod, I would run #6 AWG copper from the ground/neutral bus in the service panel, with no splices to two 8' or longer rods spaced at least 8' apart.
If I had a situation similar to yours, I would locate one rod near the electrical service panel and the second rod near the antenna installation.
Once an effective ground system exists, I would run #10 AWG or larger wire from the mast to the nearest ground rod. I would also run the coax from the antenna to a location close to the ground rod and then connect a coax grounding block with a short piece of #10 AWG copper to the ground rod.
The big box home centers stock the wire, clamps, etc.
Again, working in your electrical service panel can expose you to dangerous voltage. If you aren't sure of what you're doing, consider hiring a licensed electrician.
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