[verb た-form] + らどう [verb た-form] + らどうですか [verb た-form] + らいかがですか
たらどう suggests something to the listener: "why don't you…?", "how about…?". It is the たら form of a verb plus どう, "how would it be if you…". Plain たらどう is for friends and family; たらどうですか is polite, and たらいかがですか is politer still.
The suggestion is for the listener, so "you" is left unsaid. In casual speech どう can go too, leaving a rising たらきごう?: やすんだら休んだらきごう?.
Said flatly, たらどう can sound impatient or critical, like "why don't you just…". Intonation and context decide.
With a customer or a superior, たらいかがですか is the form to use.