Personally I would never start with an amp. If already knowing the budget and room: I'd start with speakers.
That aside, and playing along, if I were to start with an amp already knowing the lone source and without a preamp, i.e. RTR deck,: I would seek out an an amp with an input impedance, and sensitivity for maximum output that would suitably match the output impedance and voltage output of said lone source (RTR deck) with as much power as I might need.
That aside, and playing along, if I were to start with an amp already knowing the lone source and without a preamp, i.e. RTR deck,: I would seek out an an amp with an input impedance, and sensitivity for maximum output that would suitably match the output impedance and voltage output of said lone source (RTR deck) with as much power as I might need.