I think a lot of what you are feeling is the "penned in" feeling of having a new baby. And it doesn't really get easy, until they are around 4.
I have two boys, 8 and 2. And I kind of feel the need to "get away" and travel, but it is a complete PITA with an infant and toddler. So, it's not happening. But it's temporary.
I do have some sympathy for the weather thing. I don't know where you are exactly, but I grew up in Clarion County (northeast of the 'burgh) and went to college at Carnegie Mellon. I know for sure that my family and friends in the area tend to have larger houses than I do - because they essentially "need" a finished basement to let the kids run and make noise, or for themselves to get away to a quiet place, during the crazy winter.
My husband and I live in Coastal Southern California. Talk about the amazing weather (70 degrees today). So we get to go out and about, beach, parks, etc. as much as we want.
However, we have no family in town, so we don't ever get a break. No free babysitting - hard to find babysitting at all, really. It's pretty expensive. It's very very difficult, and somewhat isolating, to build a young family away from family. You can build your own little village with friends and neighbors - but that can be hard to do and it's NOT the same as actual family. I think being close to family is priceless. My nieces and nephews are a lot closer to my in-laws or my step-dad than my kids are, naturally. We visit every other year.
"Is there anything more to life?" Are you regretting parenthood? I mean, a wife, 2 great kids, a decent house, nice stable jobs. Where can you find excitement? What kind of excitement? With that lifestyle, you can afford to get excitement in vacations. My SIL's family (she is a guidance counselor, so on the school schedule), goes to Myrtle beach every spring break. Every few years they come out west to visit us during winter break (a really bad time, someone is ALWAYS sick). They go on vacations to Europe and FL in the summers. Having the very generous vacation schedule from the school system AND living in a less expensive area really gives them the ability to explore in ways that we can't.
I have so many places on my bucket list to visit in the US, but frankly the majority of my PTO goes to sick days or school holidays, or the 2 weeks we visit family every other year.
I think vacationing a couple of times over the winter would really help you. Perhaps a week in December and some time in Feb (depending on your school schedule) would do the trick.
Every once in awhile I think about moving back east where it is cheaper. But the weather...ugh. And there aren't that many jobs for me in the areas where our families live. Then again, we could probably retire now if we moved back.