I'm trying to learn Danish [ø] myself. Is there an example of minimal pairs for the Danish vowels [ø] and [u]? By minimal pairs I mean, for example, "beat" and "bit" which exhibit how [i] and [ɪ] are pronounced differently.
If there isn't anything exactly like this, examples as "food" versus "good" for [u] versus [ʊ] are also appreciated. If there isn't anything like this, what's a common way for English speakers, in particular GA speakers, to learn [ø]?