Q.Starting a Small Garden
I live in central Florida, in a condo on an end unit with only about a 3′ by 7-8′ space for a small garden. It also only gets morning sun (faces the east). Unfortunately, the unit does not have gutters and all rainwater runs straight off the roof. What would be the best vegetables to plant? It’s now January. I do plan to do some container gardening also.

Certified GKH Gardening Expert
For plants requiring little sun, this article should help: https://www.gardeningknowhow.com/edible/vegetables/vgen/shade-vegetables.htm
I think containers may be the better way to go since you have more flexibility and can move them to a sunnier location. Here is more information: https://www.gardeningknowhow.com/special/containers/designing-your-container-vegetable-garden.htm
As for the run off from the rain, why not get a rain barrel. Rain barrels can be attached to the downspout and will collect rainwater that would normally run into the yard. You could then use this to water your plants.