Hello again Burk,
Now let me answer that question of yours:
It can sure be tricky to work on more than one team since that means double (or more) reporting, double things to hold in your head and people in two teams depending on you and your progress.
Sadly kanban doesn't solve that for you... but rather shows you that this is a problem. Typically we create a board per team so that person (is that you Burk?
) will have to attend and watch both the teams boards. That in turn will make the work items that you work on move slower than for people that work full time on the project. Other people will have to wait for you to complete your item before it can be moved into the next stage of the board etc.
Now to the good part; kanban (or rather visualization) will show this to you and everyone else in the team(s). This will give you something to talk about and from that you might come up with solutions around this problem. Maybe you do full weeks on each team, maybe it's better that you take ownership of one of the work items and then follow it until it's completed. You can probably come up with better suggestions.
Finally; a lot of teams that I know split their board, horizontally into two or more swim lanes. One for each project, or team even. Then you can track the work for more than one group on the same board. This would help you track YOUR work across more than one team, as you avatar (if you use them) would be found in both projects, both swim lanes.