two transistor bistable oscillator
you mean astable multivibrator?
Imho the simplest
and most reliable circuit (in terms of number of components and connections) even today still uses a
555 timer IC.
This IC can drive up to 200 mA, if that is insufficient, use a driver transistor for more current,
see our resource.
Imho the 555 is easier to use than a 4093, but the difference is a small one and may be just my personal gut feeling.
Contrary to what
@bertus stated in post #4 your LED strip is imho a rather simple contraption. The "intelligence" is in the controller, but the controller is not required to operate the LED strip. Within the strip there are segements (usually marked where you can cut them open) with a few RGB LEDs and series resistors. The strip has 4 connections: R, G, B and 12 V (not so commonly: R, G, B and ground, also called common or 0V). Brightness is varied by modulating the on/off ratio (called duty cycle) of the power to the LEDs.
Note that there are variants of LED strips with built-in controllers (The name WS2812 or WS2813 typically appears in connection with that type of LED strip). These in fact require programming by a controller to produce the effect you want to achieve. Should you be in the possession of such a kind of LED strip, I recommend you one of the simple type and forget (for the time being) about the programmable strip. Judging from your questions I think that is a project for the future when you have collected more experience in electronics, should you desire to do so.
Assuming you have the + 12 V common variant (imho the more common one): any color is activated by applying ground (0V) to either R, G, B or any combination thereof. You can do this by using a bipolar transistor or MOSFET (see the resource I linked above on how to do this) or the output of a 555 timer IC directly (as long as the total output current of the IC does not exceed 200 mA). You may even be able to re-use the respective transistors from within the controller.
Or simply use the controller delivered with the LED strips and set it to blink mode.
Should you have the common ground (0V) variant, you will have to control the + 12 V as a switched power signal to te R,G and B inputs of the LED strip. This requires a slightly different setup using PNP transistors or P-MOSFETs. Should this be the case let us know so we can draw the required circuit for you.