I am an in-home care provider.

I am an in-home care provider. I recently was offered a great opportunity with a good family. However, my current family offered to match/do better than whatever offer I’ve already been given. I did make and sign a contract with the new family. However, keeping the same family and doing even better for myself is of course appealing. I am worried about the ethical side of all of this. The new family would have until August 15th to find someone new. The current family’s offer would be much better for my own family. Are there any care providers out there who can way in? And any moms out there who would have strong reaction to a care provider making this move to put her own family in a better position? Am I a complete jerk if I back out? It feels different than backing out of a corporate job because it feels so personal. Thanks for any feedback, if you could be gentle in your comments I would appreciate it. This situation is already tearing me in two because one way or another, I will be letting a family go.