getting a guitar with a floyd rose floating bridge would be the best way. But an absolutely necessary tip for any kind of guitar and wammy system is to stretch the strings a lot until they stop coming out of tune. Just pull on them and stretch them out a lot and retune them.

It takes a lot of work so don't be timid about it. But don't pull the high e string super hard because it might break, but it needs to be stretched out a lot just like the rest of them. I literally yank on the lower strings so hard that I am more worried about them coming out of the saddle than breaking them, but I have a floyd rose floating bridge, so it's sort of different.

Lots of Ibanez guitars have them. When you use the wammy on a floyd rose and you have properly stretched out strings, it is almost an eerie effect how they come right back to exact tuning.