Maytags show up in colors often enough. Even if you find a set you like, such as those in Santa Barbara, you're going to find colored ones or designs with more bling tough to resist. Start budgeting for a vehicle that can haul machines. You've got it bad, and not having a means to transport anything ain't good.
From what you've stated, it seems like working on vintage machines would be both therapeutic and a good escape for you. Single parenting is not easy and most assuredly exhausting with an infant and a toddler. I hope you have help that covers for you some of the time. You have a huge weight on your shoulders. You may love the hell out of your kids, but you still owe it to yourself to come up with a respite plan.
I have a similar situation caring for my partner who had a massive stroke three years ago. Tinkering around in my workshop is how I get "me" time when I'm stuck at home. I can tell that tearing into a big machine or two would be the perfect indulgence for you, and you should understand that you're worth the expense. If it costs you another $50 for gas if a friend can help you get those Maytags, that's still a good deal when the bottom line is maintaining your sanity.