I understand the sentiment but it's understated how important a dog is/can be for people, especially those living alone. OP should be aware of all options but a

I understand the sentiment but it's understated how important a dog is/can be for people, especially those living alone. OP should be aware of all options but a win-win solution enabling them to keep the dogs is paramount. I have big concerns about the "tying them up in the woods" part, however, and do not want to be verbose with my thoughts without being prompted by OP.