There are already lots of methods of getting such a formula. See sections 2 and 5-10 of the Wikipedia page for Pythagorean triples. What formula did you rediscover?

Finding a known formula can still be interesting if the method is new. For example, Euclid's parametric formula for primitive Pythagorean triples can be derived geometrically (intersecting a line of varying slope with a circle), algebraically (factoring in the Gausssian integers), and by other methods.

If you want to know where you might submit your work, just look up journals where previous similar work has appeared. For something elementary like Pythagorean triples, the Amer. Mathematical Monthly has articles on them but the standard for accepting "yet another paper" on this topic will be high. Unless the work has a non-routine aspect to it, you'll find it hard to get something published in a mainstream journal on such an old theme.

Finally, don't name the formula or method after yourself. That's simply arrogant.