An autoilluminating rechargeable lamp system includes a set of one or more self-standing rechargeable lighting fixtures (luminaries) removably supported on a recharging and support member. The luminaries each include a light diffusor that may resemble a candle to the from that turn on when removed from the recharging and support member. The luminaries may also turn on when power to the recharging and support member is turned off, turning the luminaries on automatically as during a power failure. The luminaries may each be inductively coupled to the recharging and support member, which enables to provide an aesthetically pleasing interface free of electrical contacts. Relative rotation of luminary cover and foot members may be used to controllably alter the characteristics of the illumination, such as dimming/brightening.