Sorry to be so predictable

That's a very nice and high-end Seamaster, probably from the 50s. It's also very appealing, with the gold-colored hands and dial markers and the cross-hair dial. Very nice watch. Somebody will most likely be able to give you the reference number and the caliber of the movement just from looking at it.

When you shake the watch gently, do you feel something bumping inside? I'm just asking because two different types of automatic movements were used, and that would help distinguish between them.

- The word Chronometre on the dial indicates that it is a special watch that was certified for particularly good timekeeping when it was made. Only a small fraction of Seamaster watches from that era were chronometer-certified.
- You will probably want to remove that bracelet. It's not original to the watch or particularly special, and the spring-loaded ends can cause damage to the inside of the lugs.
- When you have the movement serviced, it's ok to have the crystal polished to remove the scratches, but please tell the watchmaker not to do any polishing of the case at all, even if they try to convince you that the watch will look shinier and better if they remove scratches. Polishing a watch rounds the sharp edges and degrades the original shape of the case, and it's not desirable. Similarly, they should not replace the crown, even if they insist that it's better to do so. You really want to keep the watch as original as possible, because it is highly collectible.

That means it's a "bumper" automatic movement, which helps identify it. With that information, I'm quite sure that there are some experts who can probably identify it. If you could measure that diameter of the case, excluding the crown, that could also possibly help. Most of the Seamasters from this era were about 34-35mm in diameter, but a few models were a few mm wider.

Once the case reference is identified, we can probably tell you which bracelet will fit, although most likely it originally came with a leather strap.

Something like this:

In your place, I would use one of the people recommended by forum members instead of an unknown. It's ok to ship a watch for service, many of us do it regularly.

You should also contact the people mentioned, they may not be as far from you as you think.

Doesn't the 2577 have a screw-back?