good idea to get a cat with newborn?

JK
I've been wanting a cat and a dog too forever and we just haven't had the right loving situation before until now. Either because of traveling a lot for work or our apartment wouldn't be ideal. Now we live in a bigger apartment in a community with huge fenced areas for dogs and a huge forest nearby and also good for an outdoor cat. 
Our little guy will be almost 4 months and now people are telling me it would be dangerous to get a cat because it can carry diseases and such. What is everyone opinion? Have you had any problems with your cat and newborn? 

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