Help me migrate to a new email provider

I'm currently using MailerLite, but I'm not impressed. 

My wife and I have 2 different businesses. So far I have about 600 contacts, while my wife has 200. I also have about 6000 contacts from a long time ago that I used to have on Constant Contact. 

I'd like to move to a new e-mail platform. I want a single account to support my business and my wife's business (different mailing lists). I also need help integrating sign ups into our wordpress sites.

Here's what I want you to do:

1. Help me find the best, most reliable email provider. I will establish the account.
2. Migrate my contact lists to that provider.
3. Build my popups, opt-in forms and integrate those into our wordpress sites.

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