Although the L293D is very handy, it has two important constraints: It is limited to 600 mA and it causes the voltage to drop.
The relay below has a 5V 40mA coil. It can deal with a charge up to 1A at 30V. It has the size of a 14-pin IC. Its lower part has a drawing explaining what every pin is for.
In the following circuit, a 330 Ohms resistor is connected to the common pin, a green LED is connected to the normally closed pin and a red LED is connected to the normally open pin. The power provided is 5V.
As expected, the green LED lights when the coil is turned off and the red LED lights when the coil is energized.