Some folks use chain hooks, others use chain "forks", which are easier on the chain, because it doesn't turn the last link sideways. (Not the way a chain was meant to take a load). Either of the above, can come undone, if it lays on the bottom in a shallow anchorage and slack
wind.
My bridle has its two 30' legs attached, (with thimbled and spliced ends), to a 3" SS ring. Also spliced into this ring, between the two bridle legs, is a 4' long section of three strand nylon line. I call this the tail.
Since I am sometimes attaching to the 110' section of chain
rode, and otherwise attaching to the
rope portion that follows it, I can use this "tail" to attach to either one.
On the chain portion I use a rolling hitch, and on the
rope portion I use either a rolling hitch or "bowline through a bite". Either hitch needs to be backed down on to "set" them. (Has held me in cat. 1 this way...)
In thousands of nights on the hook, this system has never failed me, even in 60 + knots of wind!
Of coarse it would be no big deal if it did, because the slightly slackened main rode itself, is attached as well to a strong
deck cleat. This is either directly, if it is the rope part, or using a chain fork and 4' tail if I am laying to the chain portion.
We keep our bridle rigged up and ready to deploy, by lashing it bundled up to the bow rail.
Be sure that your bridle is thin, long, and stretchy. (We use 3/8") Remember, the load is divided between the two legs, and if it is too strong to be stretchy, it defeats the purpose. The main rode is also a "safety"...
Mark