slightly confused. you wish to thank the Gods for the luck? you could throw some bird seeds around the area, or burn some incense, but i'd go with something more an offering to nature. that's just me of course.
if you mean enchant the ring, you really don't need much. place the ring in salt water [sea salt's best, but it can be table salt] leave it in your bedroom window to catch the sunlight [cover it with a cloth at night unless you want the moonlight to touch it as well] this should purify and charge it. on the full moon, you can enchant it. don't know what you want to enchant it with, but when you choose, burn a candle of the corresponding colour [green = luck/heath white = protection pink = love] and maybe some incense. meditate holding the ring, and visualize a glow around it [green = luck/health white = protection so on] if you find a chant [or make one up] say it. pass it through the incense, then place it by the candle. let the candle burn out, or snuff it out. personally i'd leave the ring on your alter for the night to be blessed by the God and Goddess, but if you can't leave your alter out, just start wearing it. once a month you should repeat the chant just to keep it strong. [you don't have to do the whole salt water candle incense thing]