I have three kids (10, 8, 6) and all of them have only missed one home game since they've been born (can't remember which, but was just too cold). Pre-kids or post-kids, I have never left early from a game either. Like anything with kids, it's all about preparation and conditioning. I see it all the time from families that come with kids around us and get squirrely around halftime and they leave. Our kids have just grown up around it, so sitting through a 3+ hour game isn't foreign to them and it's no big deal. Additionally, with a 1-year old, you can likely get them to nap for a good chunk of the game, depending on their schedule. When my kids were that age, I could usually get them to sleep through almost half the game. Some of these probably don't apply to a one-year old yet, but my tips/tricks for kids at a game, some of which have been mentioned already and am reiterating for emphasis:
- Sit on an aisle. It's a pain when your kid is napping in your arms and the 50 year old drunk mom has to make you stand up 6 times so she can go buy more beer and/or go to the bathroom, but with kids, being able to escape quickly is key.
- Smuggle food/water in your stadium bag. Roll up a blanket and stash food in there. Cram as much stuff into your bag as possible so it's hard for them to crom through it.
- Related to above: whomever is carrying your child through security should also carry your stadium bag. Many of the security people are a-holes, but if you look exacerbated while holding an infant and a bag, most will take pity on you and either just pass you through, or not really crom through your bag.
- Bring things to distract them (coloring/activity books, toys/stuffed animals, hot wheels, etc.). This may not apply to you yet, but it will eventually.
- Again, probably does not apply to you yet, but the upper concourse of the upper deck (by the secondary scoreboard) is a great open place for kids to run around if they get squirrely. The plaza by the main scoreboard can work too, but more crowded.
- If your wife is still breastfeeding, she can go to the first aid area and they'll give her a curtained-off bed for her to sit and do that.
- Tailgate ahead of time to make them nice and tired. My now 6 year old was still napping through part of the game last year (when 5) because we tailgate, play football, and wear them out ahead of time.
- Get a chairback seat. When we had three kids in daycare, we couldn't afford the nicer seats, and sat in the upper deck corner bench seats. With my comments above about how much my kids have napped through games, I'm not sure my back has yet recovered. If you are able to get your kid to nap while holding them, and if you're able to afford it, having a chairback is immensely valuable. If your kid is still small enough, use a Baby Bjorn-type deal. We used them for as long as we could.
- Ration your snacks so they have something to look forward to. Yes, we can get ice cream, but not until the end of the third quarter, little Jimmy.
- Sit on the shady side if it's a day game.
- Bring hearing protection.