There are people who might try to exploit or take advantage of mentally ill people who have a significant amount of money...to more or less try and get at it. But not everyone is like that, sometimes its best to keep a lot of details to yourself when first meeting people until you have a better idea of what sort of person they are and can potentially tell them more if you feel safe doing so.

Also though do you keep a lot of cash in your house? If so it might be a good idea to deposit it into a bank...or credit union savings account or something I prefer credit unions. Or perhaps a safe. But yeah if your money is in an account...you'd be the only one who has access so long as you keep your debit card/account information to yourself.