As long as you are there to keep things afloat your parents won’t find the resources they need to take care of themselves. Explain to them that you have a deadline. Give them time to prepare. But your support may be enabling them to remain in the situation. This is a crossroad for you, your parents, and your relationship. Without a deadline your parents won’t be motivated to change.
As you get ready to go help them get social services and give them the tools to get the information and help themselves. To stay means you will be in orbit around their needs — and continue to neglect your own.
This doesn’t men you have to abandon them, but it does mean your life can’t be perpetually put on hold. You can still help out in some ways, but not by filling in for their responsibilities.