In my area... those morning glories and cardinal climer / cypress vine... Extremely seedy... plant one this year see tons of them next year.
Once you have them... better not plan on ever reclaiming that space!
Heavenly blue is safe, moon vine is safe...neither self sows... There are some fancy types that I haven't had any luck growing...
I like beans... Whether runner beans (Phaseolus coccineus), hyacinth beans (Lablab purpureus), or just edibles like cherokee tears or yard longs... all attract hummingbirds and butterflies. Look nice on a bamboo tipi too!

nice to get food from the pretty vine...