Translation:You did not used to see me every week because I did not used to live here.
'You did not used to see me every week because I did not used to live here.'
That's not grammatical. It's 'used to' or 'did not use to'. We tend to elide the end of 'use(d)' and 'to', so it sounds the same either way, but if you're writing it down, there is a distinction.
Personally I prefer 'usedn't' but that's not accepted.
It's only when I started learning this tense in Irish that I realized that I've probably been saying "didn't used to" all along, not even realizing it was wrong, even though logically other verbs using the did/did not form don't use the past tense form either. So, the English version of this is wrong, but even when said the "right" way sounds incredibly awkward. Your version definitely sounds better.
The use of the past habitual in ...ní bhínn i mo chónaí anseo is somewhere between unnatural and ungrammatical. As I noted in my comment here living somewhere generally isn't considered a habitual action in Irish and it's more usual for the past simple to be used ní raibh mé/rabhas i mo chónaí anseo.
I believe it is not accepted just because in Irish you have one tense with the meaning of both “used to” and the actual verb, so maybe they don’t want to separate the two elements in English or you may read them as two separate things: as a non-native English speaker, and a native speaker of a language (Italian) that uses the imperfect tense a lot, I feel a slight difference in focus between “you didn’t use to see me” and “you used not to see me”. The second one gives me a sense of something made on purpose, but maybe that’s just me. Anyway, it would make sense to write it as it is now, if only it was spelled correctly.
Always [ˈfʲɛcəx] In Munster. In Galway, Mayo and Ulster, it's [ˈfʲɛcətʲ] before sé, sí, sibh. When not before sé, sí sibh, it's [ˈfʲɛcəx] in Galway, [ˈfʲɛcuː] in Mayo and [ˈfʲɛcu] in Ulster. Every instance of feiceadh in the imperfect is followed by sé, sí, sibh, so it has to be either [ˈfʲɛcəx] or [ˈfʲɛcətʲ]. https://en.wiktionary.org/wiki/feiceadh