I would say 大好き for "I love gaming / TV programs / coffee / chocolate / food / the movies / clothes / colors / etc". You can use 大好き for your family, friends, pets and of course for romantic relationnship, too. You can also use 好き for everything. We mainly use 愛している for romantic relationship, and depending on the person, for family however, I think we rarely use it directly to express our love to our family members. I hope this was helpful.

aisiteru ha koibito,fuufu,oya ga kodomo ni yoku tukaimasu. 愛していは、恋人同士や夫婦、親が子どもに良く使います。 他の使い方としては、誇張したい時に使います。 逆に言うとあまり使いません。 愛してる＞大好き＞好き

How are you