How long is your run? Will it be straddling a property line?
Of course not, as it was a question in the general forum, and not in the search box. No worries, we are here to help.
"Run" is approximately how many linear feet you need to cover. You stated 20' to 25' - even utilizing the garage wall on one side, you will need at least an "L" return on one end and also on the opposite end and will need to install a gate to enclose the area.
See what you think of these:
Sinking your fence posts is important, especially since it snows in your area. I would get help digging the fence post holes, it is back breaking work even with a post hole digger.
Skip the chicken wire, it's too dangerous. I have seen pets get their paw stuck, panic and rip out nails and even pads then they can bleed out if not noticed in time. Many other options that are still inexpensive.
Let me find you some gate options.