I just got goats last June, and as far as I understand 'low maintenance' doesn't apply to goats at all but to your management of them. If you are fortified with as much information and knowlege by reading this and other forums, speaking with herd owners in your area, have a shelter and adequate fencing for them, they will be safe and you will have a good head start.
Goats are lower maintenance if they are from healthy well tended herds. You can buy any goat cheaply at auctions, but there is a reason they are being sold quickly and cheaply. I wouldn't go there. Disease, poor nutrition, bad genetics, will cause immediate high maintenenance, EXPENSIVE scenarios.
Each goat is an individual, but some breeds are easier to handle. Lamanchas give good milk and are mild mannered, but Nubians and Alpines give more milk but can be loud and have more attitude.
If possible, buy bottle raised goats. They are much more attuned to humans and will automatically love you more than your dogs do

. Later this spring, there will be an abundance of goats in milk, and you could purchase one easily, but be willing to spend at least two to three hundred dollars on her AND from a reputable owner/breeder. There are many on this board who even give out their phone numbers and invite prospective goat owners like yourself to visit their farms. Like I said before, a 'cheap' goat is a risk a new goat owner shouldn't take. You might get lucky, but the odds are not with you.
If you are serious about goats, read as much as you can, talk to a lot of goat owners and get a realistic view of what it will take. If you are careful, you will fall in love with your goats rather than be overwhelmed. Ask me how I know. I made quite a few new goat owner mistakes (haven't we all) but after a couple of rough months with a lot of anxiety, we figured it out. I bought dam raised goats from an older fellow with a nice healthy herd BUT he had too many to take care of for his health, and I thought getting five goats in milk along with their five kids for a little over a thousand dollars was too good a deal to ignore. I was lucky, they've been very healthy, but taming them and their kids and learning the hard way about the kind of mischief they are capable of made for a rough summer

.
Also, you'll need two goats, they suffer when alone, and may not stay healthy or happy. A doe and her kid(s) or a doe and a wether (castrated buck) will be happy together.