Hmm.. I wonder if these Fat!So?- guys understand how self-contradictory their statements are. Either being fat is beautiful, then: What’s the problem? Or being fat is bad and caused by genetics, then they just have bad luck.
…Or good luck, if it’s beautiful? 
Well this is certainly true. I’m sure that the shocking amounts of misinformation pumped out by the diet industry and the popular press (eg Atkins, cabbage soup diet, whatever) has had adverse effects on numerous people.
No doubt there is a lot of misinformation out there. I wouldn’t dispute that for a second.
But read the quote again: that fellow wasn’t blaming bad diets, he was blaming dieting as such. He was saying, basically, “People are fat because diets are hard and they give up and binge. If “society” would just stop telling everyone to eat a healthy diet, then we wouldn’t be fat.”
Which is nonsense.
With what weights?
Depends. How are your finances? If they’re stable, a home gym is a big option. If you can make some cutbacks in other areas, it will be worth it to fix your health…
If not, then I know in my area there are at least 12 gyms within 10 miles and you can get a membership for under $20 a month if you don’t buy the “add-ons” they try to sell you.
If money’s tight temporarily, you could just buy a few small freeweights and a chin-up bar and use those and gravity exercises to start out, like Blacksabbath suggested. You will eventually need access to the heavier stuff, though. But it won’t take hours per day, I’ll tell you that. (just trying to offer some hope)
I think Megan is acting very rationally. She puts money first, which is a reasonable choice.
Of course only she knows the full context of her life, so only she is qualified to say. But at 125lbs overweight, it’s not something that should be put off for long… there are a LOT of health risks in that condition.