We went to Thailand recently with a 2 year old and we had her vaccinated against Hepatitis A which was recommended by our GP. I think it was worth it given that children that age do have a tendancy to put pretty much everything in their mouth!
I don't know wbout the places you are planning to go to but we spent 2 weeks in Phuket and Bangkok and had a ball. We did some boat trips, an elephant safari, went to the beach, spent time in the pool, did the markets etc and had a wonderful time. DD still talks about it.
Another thing - DD was diagnosed with a peanut allergy just before we left and we thought it would be a nightmare but it was actually fine. We had no issues at all. None of us got sick and we ate really well. I would have no qualms in taking your bubs along. :P to the Lonely Planet people.
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