If you want to do it quickly and easily, I'd use a decade counter and an LM555 chip to pulse the decade counter.
The decade counter has 10 outputs (Q0 to Q9). When you turn the circuit on, it lights the first pin, then pulses to light the second, then third (all three I'd these are connected to light your first sign) Q1, Q2 and Q3j. Q0 wound be connected to anything as the dark starting point. .
Then the fifth, sixth and seventh pins (Q4 - Q6) light up the second time for about 0.6 seconds each for a total of 2 seconds. There will be no flash as one turns off and the next turns on.
Finally, for the third sign, flashes the second sign in, (Q7) makes the first flash, then Q8 not connected to anything means everything is dark, (Q9) flashes the third sign on again.
Now, you can make it stop there until you switch it off and on again, or you can have it continuously cycling back to the dark before the first sign and repeat.
Let me know what you prefer.
There will be a few more wires with this method but no installing software, writing a program and loading into the microcontroller. Just two chips. One that makes pulses, and one that takes those pulses and energizes ten different pins.