I'm also not up to date on the different connection methods people like best for Neo Geo, so that's certainly something to research how you're going to connect your system to the TV and to make sure you get one with the appropriate connections.
Trinitrons are great, but I will never recommend a flat one. The KV-27S42 is a great model in the US, and I'm sure you can find an equivalent European unit.
If you live in an NTSC region get a Scart to component converter like this one:
Just be sure to replace the power supply with a better quality one.