Switching doctors and hospitals at 16 weeks should I try to see my new doc before my 20 week…

I'm going to be doing this as well because my husband and I have been restationed from Colorado to Florida. I was going to try to get in as soon as we got down there around 16 weeks but I have a feeling they're going to make me wait until 20 weeks. I would try to get in before if you can.