I like to play these questions as they lie- it probably won't make much difference but I can help you try for your self. How much gain do you think you need and what BW. Standard Def TV has nominal BW of 6 MHz. What amplitude and impedance are the luma and chroma you have access to.
A goto part for this app is the AD8041. Single (or dual) supply, well behaved, VFB, - can drive a back terminated 75 ohm load. Data sheet has good apps section. Use a non inverting gain stage with a termination on the + input to set the input Z to your source. Get gain with feedback, keep Rf < 3k or so and keep the lower R between 500 and 1000. Add 75 ohm back termination to output. Use HF bypassing techniques- tight.
Choose a supply between single 3,5 or +-5v.