Take the BBC for example, they're as close as I can get to a neutral source but even they have a somewhat left wing bias. It's pretty mild though and they do have some somewhat right wing voices. As a moderate right winger I find it absolutely fine and easy to take into account. The Economist is great, and even the Guardian is worth reading from time to time. It's good to know what people with different opinions are thinking and why.
I cannot stomach Fox News though. Those people are deranged, it's practically RT for America. The Daily Mail here in the UK is almost as bad, they knowingly and regularly distort climate science data to misrepresent it for example. I'm a climate optimist, but the DM blatantly falsifies results. I still go to their web sites to check out how they are reporting things from time to time, but they're not just right leaning, they're constructing an all out ultraconservative fantasy reality.
Maybe I should try the Express or Telegraph, they might reflect my political views better but I can't be bothered. I find a close echo chamber for my own opinions rather boring. The nearest thing I consume to how I think is the Economist but they always keep it interesting with thoughtful analysis of current events and even post mortems when they get things wrong. They also sometimes give air time to opposing views.
Maintaining my views while constantly being pulled leftward by at least some of the media I consume to be a constructive dynamic. I don't always agree with them, but at lest I'm well informed on why. For some reason left media tends to be much more centrist these days than right media which is ultra radicalised. Back in my youth it was the other way around. Left media used to be so bonkers it was hilarious, now right media is so bonkers it's terrifying.