Which fallacy would best fit this statement; "It takes someone with a really big heart to give to our charity, and you seem like someone who cares more than most."?

Appeal to Vanity. :) Works a lot!

It takes someone with a really big heart to give to our charity, and you seem like someone who cares more than most. What type of fallacy is this?

This is probably a non sequiter. The second statement does not logically follow from the first.