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It shouldn’t at all. Things going on inside your docker containers will remain there. You won’t be able to map any ports exposed by a container to the ports already in use by Apache or your other services but you can get around this by simply using alternate public ports when you configure things.
I would recommend at least a 2GB droplet if you plan to be running a live LAMP service and running some docker containers. The MySQL service can use a lot of memory and what docker needs will depend entirely on what you’re running in it.
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