Here is my favorite technique:
“First treat a woman like a person, then a princess, then a Greek goddess, then a person again.” -Shawn (Psych)
Treating some like a person first is really the most important thing. Everything else is optional but people like to be treated special for a while before being a person again.
As suggested below cardboard to block out any ground that you are not using. This cardboard is usually done after the season is done (in the fall) and covered with leaf litter and then soil in the spring. This pushes the cardboard down where it will act as a weed block as it starts decomposing. Most “weed seeds” only sprout when exposed to sunlight and air and are air driven. So this cardboard will block the seeds where they are.
Since its spring I would recommend putting down seeding straw instead of cardboard (but you can do both) around your plants. The straw will slow any new windblown seeds from falling and will cover any of your bare ground so the light doesn’t activate any new seeds. Moreover, the straw should hold moisture for the rest of your plants and should start decomposing over the season. Also I think the straw looks better than cardboard throughout the season. With the straw you can start composting in place by placing any garden scraps under the straw where it will start breaking down out of sight.