People my age are always out at work or shopping, so they're never home.

Literal

Same-generation [possessive-の] people [topic-は], work [or-とか], shopping [with-で] away only [copula-です].

同世代の人 ('people of the same generation') identifies the peer group. とか lists examples casually ('things like work and shopping'). 留守ばかりです ('are always out/away') uses 留守 ('absence from home') + ばかり ('only, nothing but'). The sentence expresses the loneliness of a stay-at-home person whose neighbors are always gone.