Inrush on a tungsten incandescent bulb can be up to 10 times the steady-state current. But the inrush is short enough that it does not trip circuit breakers or fuses, and your electrical circuit should be rated for the steady-state current. Circuits handle the inrush from many types of electrical appliances with no particular problems.
House 120 VAC circuits are rated at either 15 or 20 Amps, so you'll be fine with either circuit rating.
Of greater concern is the contact rating on any timers that switch the enlarger on and off. Be sure they are rated for the lamp load--they probably are, but make sure. If they are not, the switching element in the timer may fail prematurely.