However, in with a lot of the irrelevant broad matches are some relevant ones, so I'm willing to pay something for them, just not as much on a per click basis.
Can I set up one ad group with, say:
[main keyword phrase]
as an exact match and one ad group with
main keyword phrase
as a broad match with a lower CPC and have Google correctly assign the exact matches to the first ad group (and theoretically give me a higher ranking because I'm willing to pay more there?)
1. [Red Widget] (exact)
2. Red Widget. (broad)
If someone searches for "handmade red widgers", ad #2 will be shown, and if someone searches for "red widget" than ad #1 will be shown.
There are a lot of bugs if you put them in the same AdGroup. If they are split into different AdGroups or Campaigns, then those bugs generally don't apply.