An Organization (org) is a group of people (resources) in a company.
A Board is similar to a Project that has cards (tasks) handled by resources (people)
When you create an Org add all the people associated with that company that will be working on the projects. You can create as many orgs as you like.
The key is setting up the boards Visibility correctly. When you setup a new board make sure it is associated with an org and not just a general none or private board. This is key so all Org members can find and join boards that are listed in that org. This is how you can setup multiple orgs without members seeing the other org's boards.
Most likely you have setup new boards but not set them to an organization. That is why you have to keep adding members. Note that boards will not automatically add everyone to an otg's board but they can at least add themselves. When they add themselves to the board they can then edit cards, etc. (IF you have board edit options set to allow editing)
There are a number of ways to accomplish what you want. Experiment to see what works best with your team.
We use recurring tasks to manage these (we had one board with lists for Daily, Weekly, Monthly and Annual/Once tasks)
Method One: Each person assigned to a card will be subscribed to the card activity and therefore receive an email notice of activity when each person steps through their items (checks the list item box inside the card). Each person will learn what list entry completion entry means something they need to start next.
Example: Paul knows to start step two (list item 'Tweak the Ad') when Julie completes step 1. Julie could also add an activity entry starting with "@paul Ready for you to start step 2" in the card activity. The "@paul" code in the beginning of the activity notice generates a specific message to the user Paul.
Method Two: Create a separate board for "Ads/Adwords/Campaigns"
Then create lists for each task or person/team. Moving a card from list to list would move the task on to the next person/team.
List 1 might be "Ads waiting for approval" Each new Ad/Campaign would start here as a separate card waiting to be approved for the next action.
List 2 might be called "Marketing" where the marketing team tweaks the ads. Approved cards would be moved to this list. The most important ads (cards) would be at the top, least important at the bottom. The marketing team would have a list of their tasks here, in priority order.
The final list would be "Delivered Ads" (completed). This kind of board would give you an at a glance view of all open ads and, by list placement, show you what stage they are in.
In this way each List represents a person or team and the cards the list contains includes only the ads they are assigned to work on now.
Trello is very much a project management tool, it's just not a traditional "chain of due dates" PM tool. Once your team starts using it to get things done they will come up with even more ways to use it.
Best Answer
We use different methods depending on the situation. Everyone knows ahead of time how to determine who is next.
Change the names assigned to the card. The next person listed in the description is now responsible for the card. This is the method our team preferred. The order is based on who is assigned now. Harder to keep track of the more people assigned. Members removed themselves when they finished an item and added the next person in line. The card description listed the people assigned in order so everyone knew the next name. In previous Trello versions we could change the order of card members so the first person on the left was currently responsible.
Assign each checklist item to a name "Step 1 (@Kevan)" so the next Unchecked item shows who is responsible next.
Add the next name in the activity comment. "@Keavan - Item A completed, you are next"
As a group, everyone agreed on what to look for. - When @Brian completes this task @Kevan takes over. OR - When anyone on the this team completes this task then that team takes over.
I like method 2 for being the easiest to keep track of. Method 1 used to be like a list order: similar to "Top is higher priority", it was "Left is Next"