I grabbed some of these in my recent Chemist Warehouse order, they were around $15. I usually buy the XO brand ones from Kmart but they are always out of stock lately.
I only use these on my eyebrows, they do a fantastic job at cleaning up the area and are so quick to use. They are sharp so you need to be careful until you get a feel for it and use the right amount of pressure plus the right angle! Practice makes perfect!
I definitely recommend these, they are small and you can easily chuck one in your handbag. I don't have peach fuzz but I think they would work really well for that. A handy tool to have.