my go-to clippers are these pliers-type clippers
. they're plenty sturdy for big thick nails. the guy I send my blades to for sharpening will do my nail clippers too, so if you are going to a show it may well be worth tucking yours in a bag and asking a vendor if they're willing. Most people don't bother with sharpening, they just replace as needed.
Bettyna, congrats on going clickity-clack free, that's great!