I was in the same boat as you. I moved to Coquitlam from the Shore a few years ago for work. Was really nervous about leaving the Shore as that was home and the biking was familiar and abundant. But happy to report that the biking out here keeps getting better. You have Eagle and Burke right at your doorstep. And with less congestion, you can be at the base of either mountain in 5 to 10 minutes after work, making it easy to get out and ride. And the mountains have a smaller community feel compared to the Shore, they're much quieter and you see familiar faces out all the time.
Eagle has seen a lot of work in the last few years. There is a small but active group of builders on Eagle who are updating the trail network. Eagle has a great climbing trail through the woods that provides access to most trails. I find Eagle isn't as challenging as Burke, but there is lots of flow and nice trails to progress on. And Bert Flinn park is at the bottom of Eagle, which has a number of hidden exciting lines and features. You just have to hunt around to find them. So you can make a nice loop out of Eagle and Bert Flinn.
Burke has a bigger network of trails with more builders, more features, and steeper lines. There's lots of good stuff there to progress on. And the more you explore, the more you'll find. It's a bit harder to climb up, as you climb roads that are steeper, looser and depending on the time of day, can be full sun. But if you're looking to scare yourself and push your limits, you can find stuff on Burke to do that.
Take a look at trailforks, as it's a great resource for figuring out the network and is up to date with descriptions and conditions. I find the mountains out here have enough variety and challenging lines and features, that I'm not going back to the Shore as much as I thought I'd be. Have fun and if you're looking for a guide, I'd be happy to show you around.