Help!! Should I go on holiday with a 3 month old baby?

Dee
Having a dilemma tonight! My husband has won a competition for 3 nights in Tokyo which includes flights from London (we live in the north of England) and 3 nights in a hotel. 
I'm currently pregnant with our first baby who is due at the beginning of December, and the latest we can take the trip is the end of March
We love Tokyo, we went for our honeymoon, but I'm getting so stressed about travelling so far with a little one and I'm planning on exclusively breastfeeding but not sure how that will work out if we go abroad or if I leave the baby with my parents
I have no idea if i will want to leave my baby at all as this isn't something I thought I'd ever have to do.. But I'm wondering whether it's more sensible to either go for a very short trip to Tokyo without our baby girl or to extend it and take her with us.. Money also comes into it as I never budgeted for such an extravagant holiday whilst on Mat leave..
Would love to hear your thoughts on what I should do and what you think is best for feeding etc
The options I can see are
Extend the trip to a week and pay extra to bring the baby
Just go for the 3 nights away (will probably end up being 4-5 days with the time difference) and leave the baby with my parents 
My husband to go with someone else..
Thanks
Dee

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