For those who say the b'racha before lighting Yom Tov candles, when do they say shehechiyanu?

Question

I was taught to say the b'racha on lighting yom-tov candles after lighting, just like for Shabbat, but I understand that some say the b'racha first on yom tov. For those who do and say shehechiyanu at candle lighting, is the sequence: b'racha, light, shehechiyanu, or b'racha, shehechiyanu, light?

An argument for the first would be that we don't make an interruption between a mitzvah and its b'racha. An argument for the latter would be that we want to tie the b'racha that ushers in the day to the one that gives thanks for reaching it, so maybe there shouldn't be an interruption there.

Answer 1

R Moshe Shternbuch (Moadim uZmannim 7:117) says that while the best thing is to say Shehechiyanu at Kiddush like everyone else, a woman who on Yom Tov will say Shehechiyanu at candle lighting and says the blessing on lighting before lighting the candles should be instructed to say the Shechiyanu blessing after lighting the candles to avoid any concerns of interruption between the blessing on lighting and the lighting itself.

Answer 2

They say it after the bracha of lights before lighting.

see Hagaos Rabbi Akiva Eiger 263:5 who says it has no real source but don't protest women who do it and he quotes the Yaavetz 107 who discusses this. Chacham Ovadia holds that the shehecheyanu is a hefsek and shouldn't be done by lighting.