I have one 14-3 .38 spl.
Is there any conversion to shoot at 9x19?

IMHO, best conversion is to get a second cylinder for 9mm because it will be no good for .38 after being reamed.

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Science plus Art

You will still be able to shoot .38.

Check out TK Custom.

They do quality conversions and you would just need to send in the cylinder.

They did a 360J and a Model 60 cylinder for me and both are well done.

TK custom, Pinicale high performance and others can do it. You can still shoot 38 & 357 but you'll want to clean carefully if you switch calibers, or cases will stick. If you a reloader it could mess up your brass.

I don't know that I'd do it to my Model 14-3. Model 14s are very nice as is and unless it's a beater I wouldn't mess with it.

Also, a 6" 9mm revolver seems a bit much.

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I do however have a 3" Model 60-15 that I'm tempted to have converted. It's a decent size for a 9mm revolver, and .357 Magnum is a bit much for its weight. Standard pressure 9mm would be about perfect.

My other candidate is a 3" Ruger SP101. It would be just about perfect as well in 9mm. Ruger makes a 2.25" SP101 in 9mm, but not a 3".

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The downside to any 9mm revolver is that you end up having to keep your brass separate as you usually can't completely size the bulge out of the case after you've fired it in a semi-auto pistol where the case is unsupported above the feed ramp.

That's something to consider if you hand load and want a 9mm revolver so you can feed it like the rest of your 9mm pistols, because you often can't.