Remember we like to see stories of owners' work to fix their bikes. Pics we love lots of pics and info on how you were able to overcome something that was a problem. Remember to use the forum search function to research things you need to do, you may find info which helps you to do things easier, quicker, and cheaper. Cleaning a gas tank is one of those. On an old, neglected bike, I'd recommend removing it from the bike. If you either pay a shop to overhaul the carburetors, or try it yourself, without getting the gas tank clean, you're wasting your $ on the carb work.
(126) Coming out of long term storage. | Yamaha Star V-Max VMAX Motorcycle Discussion Forum (vmaxforum.net)
If you don't get the gas tank completely-clean, the rust and crud will continue to clog your carburetors, and probably drive you to sell the bike,
"ah it's a lemon!" I don't know your level of skills, and whether you have a garage or a shop to do the work yourself, but by reading the similar threads of the work you need to perform, you can save yourself the frustration of not being able to repair the bike well-enough to make it operate like it did as-new.
Though the design is 37 years old, you'd be hard-pressed to find something with as-much 'bang for the buck.' A decent runner for ~$3K which may need replacement of worn-out parts/consumables like tires, battery, brake pads, fork seals, oil changes, hydraulic systems being flushed or new master cylinders (I recommend replacement instead of rebuilds, that's my personal preference), and whatever else needs to be done, for about a five grand total investment, you can have a near 10-second quarter-mile bike which will surprise many much-newer bikes, and will embarrass your H-D friends.