Hello!
I would connect daytime running lamps in a very simple way, namely:
I would install LED lamps because they consume very little power if there were no additional lamps in the car. In the permanently mounted lamps I would only change the light bulbs to LEDs. I would disconnect the power of these lamps and connect as described.
Connecting additional lamps. I would use a relay with contacts connected to the power supply. When the coil gets voltage it disconnects them.
I would connect daytime running lamps to the power contact.
Relay power supply is connected with voltage after turning the key. Relay coil one end to ground and the other to the dipped beam. When the key is turned to start the engine, the daytime running lights are on when the dipped headlights are switched on, the daytime running lights go out.
To make my life easier, I would additionally use a relay to turn off the car interior lights and the lights turn off after a few seconds.
Just insert it between the ignition supply and the relay from the additional lights, connect properly. The effect is that I start the engine and after a few minutes the lights come on. / There are a lot of different time switches on the Internet / you can use them /. As I described, I don't have to think if my lights are on. Regards Miro. Ours