Have you ever read anything about sappin?
If you want a gallon of syrup, you'll need about 43 gallons of sap. Do you have somewhere to store that much sap? Do you have a place to evaporate that much water? Think of it this way, do you want to have 42 gallons of vaporized water in the air in your home? Your doors will swell shut as will your windows. Your wallpaper will peel and you'll have generally loads of problems. So, you'll need to do it outside. Then you need to conisder heat source, wood fire or oil/gas burning and all the fuel it will take to evaporate it. If you have the trees nearby, you probably have wood for free. That is your best choice.
Now, do you have large, wide pans with lots of surface area to evaporate off the water? A stock pot ain't gonna do it. You'll also need an entire day so plan on spending from first thing in the morning to night boiling. Then the fun of clean up comes around.
So, there is A LOT of work to it, but is also very rewarding work. Make sure you get the first flows of sap from the roots up to the branches. Those have the highest sugar content. Also, if you have suitable trees on the south and southwest side of an opening, then they will get the sun first and begin the sap movement earlier. Start there. Shouldn't be too hard to find just 6 of them.
Also, what are you using for buckets? I would recommend milk jugs. They are free, covered with a lid already and when you cut a hole in the top side of them, they will hand right on the tap. Make sure you check your buckets often, oh, and have a great time!