Luvvie, you need have no worries. Just remove all Flash programmes and apps on your systems now and you will need have no worries in the future about any vulnerabilities that might have been introduced into your boxen due to the insecurities inherent upon the running of that particular application.
The new standard is already being implemented, and according to most accounts you would be hard-pressed to find an occasion where a Flash file would be necessary to continue on in whatever venue you might be following, other than viewing a vid file which most sites have alrady converted over. :)
Thanks!