Products for oxidative dyeing of keratin fibres include at least two preparations (A) and (B) prepared separately. The first preparation (A) includes, in a cosmetic carrier (A1) hydrogen peroxide and (A2) one or more fatty constituents in an amount of from about 0.1 to about 40 wt. % relative to the weight of preparation (A). The second preparation (B) includes, in a cosmetic carrier, (B1) at least one alkalizing agent and (B2) one or more fatty constituents in an amount of from about 0.1 to about 40 wt. % relative to the weight of preparation (B). Preparation (A) is prepared in a first container and preparation (B) is prepared in a second container, both of which containers include at least two layers. An inner layer of first and/or second containers includes a layer of a synthetic polymer (I). An outer layer of first and/or second containers includes a layer of metal.