I think you need to take care of yourself before you can take care of others.
Even if you are very close to your parents and don't want to "abandon" them, the most immediate thing you can do is find a job that will give you financial and mental stability - you probably underestimate what it is you are able to bring to a company, and if you are willing to start somewhere with a clean slate there are probably a lot of job opportunities around.
You'll then be in a much stronger mental state, and will be able to look for ways to a)help them transition to a retirement home b)pay for someone to help them take care of themselves c)incorporate them into YOUR life, by inviting them to live with you in the future for example.
You need to find a purpose for your own life, and it is clear that you do not share the same "apathy" which you are finding in this new environment - therefore staying there can only lead to disappointment.
If in the short-term this means disappointing your parents, as sad as it is to say, they won't be around for ever, and disappointing yourself will have a much longer-lasting negative impact.
Take care.