[TrueNorthM5]

I took my 9 month old to Malaysia and Indonesia. We travel several times a year and are headed to Cancun next week.

Most tourist places in Mexico are probably as safe as many neighborhoods of USA (or Canada in my case) - the one exception I would say is traffic/transportation - bring the car seat for the little one.

Because travel/budgets are all so variable, I'll just say a few tips:

-Bring your own baby food/snacks (more than you'd expect)
-All inclusive is the only way to go with young ones. Buffet for most meals
-Get a room with a nice balcony with ocean views. Baby goes to sleep at 7pm? Have drinks/room service on the balcony with your wife.
-Pick a resort that has a kids club/splash pad etc. Even if your 1yr old isn't old enough, it's helpful to know there's going to be other families

Aside from that, read reviews and book something that looks nice/in your budget. I don't particularly love Puerto Vallarta or Cancun, but many of the hotels are nice and you'll probably be spending most of your time there. Los Cabos is very nice but you can't swim in the ocean. Cozumel is lovely but the resorts aren't as nice as PV or Cancun area.