Hey! Great you got some video coming out already
I didn’t know LT1078 before so I’ve checked the datasheet, it is a precision amplifier, which means they’re made to have better specs than “standard” op amps in terms of offset, internal noise etc… which is great. Though for video, what you need to check is Gain Bandwidth Product (GBP), which will tell the bandwidth of the op-amp and is also dependent of gain.
LT1078 GBP is around 200kHz, which is rather low in this application, as a composite video signal contains luma ranging from DC to around 5MHz with a color subcarrier around 3/4MHz depending on the standard.
As a reference, TL072, which is often used in audio project, has a 3MHz GBP, and it’s bit low to let the colors/high details get through.
LM6172, as used in various DIY video projects, has a GBP of 70MHz, which is more suitable. Also AD8072 as discussed here
Then for op-amp design, I would say the first choice might be single supply vs dual supply.
For single supply design, I’d recommend checking Rob Schafer’s work
Another good reference for single supply design is Chroma Cauldron/Russell Krammer Wave Comber
Since composite video signals are often AC coupled at the output, a single supply design will ask for an offset of the signal at the input of your circuit, so it get into the usable range of the op-amp powered by the single supply. That’s also why rail-to-rail op amps are preferred in this case. An advantage of single supply is that it is easy to get from a DC wallwart.
For dual supply design, you can check LZX Cadet/Castle, ReverseLandfill and Visible Signals schematics. One of the advantage of dual over single supply is that the op-amp can process negative going signals (AC coupled video for example). Then the dual supply itself needs to be generated either from an AC wallwart with diode bridge/filtering/regulation (aka linear power supply) or from a DC supply using a switching design (as flyback topology).