I think it would be excessive to say to replace all of your appliances. Things like stoves, ovens, and fridges are just too expensive (although the economy would love it if you did).
Toasters and toaster ovens should be thrown out. There really isn’t a way to clean them that you can remove all the gluten, so you should just discard them (give them a new home!). Make sure to never use gluten-free products in toasters that contain gluten, you’ll get sick for sure (she says, speaking from experience).
Some people discard their mixers, blenders, and processors. It’s up to what you feel comfortable with and how clean you can make yours.
Remember, you’ll be cooking more than you did before, so it’s not a bad investment to update your kitchen.