Hi all: My husband and I are trying to plan a trip to Taipei with our four little ones and it's proving to be very daunting! We have so many questions and thought this would be the best place to ask them.

1) Where is the best place to buy tickets? We were thinking Eva Air (they have non-stop and one-stop at a reasonable price) but they're not letting us purchase more than 4 tickets at a time and I'm worried we might not be able to sit together. Thoughts?
2) How would be get around? I heard the MRT is not too bad so that might be our best bet but for the times that we would need to take the taxi's - do they even have vans that can take us around? We'll be traveling with my MIL at this point since she knows where everything is.
3) Should we even take a stroller? We have a toddler and a preschooler and have a feeling they won't be walking too much, esp in the beginning with the jetlag. We're thinking about taking a carrier but we only have one. Are the streets in Taipei stroller-compatible?
4) We would love any other tips re: what to do, what to see, with all the kiddies in tow. Thanks so much!!