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Delta-V is what you're looking for and while it is the most informative number for planning your adventures, it's strict application to your unique kreation is so-so at best. Flight profile, atmospheric drag, thrust vector, etc. can throw all of that out the window.
So, the basic KSP has delta-V stats while building your ship, KER (Kerbal Engineer Redux) can get a lot more specific and has helped many who are more numbers-oriented and specific. Combine that with commonly-available delta-V maps and *voila* you have planning!
Hope that helps!
I think you might also be looking for these.
https://ksp.olex.biz/
https://alexmoon.github.io/ksp/
They also show up as the first two sites searching google for "KSP transfer window".
For me, the first tool is simpler to understand, they visually show you the angles and tell you the ejection dV required at the bottom.
The second tool seems more useful for finding all the transfer windows in your game, they graph out how much dV it would take to travel from one place to another, and what the travel time is at that dV cost. It is more complex to get used to, but seems far more detailed and informative. It also uses in-game times.
AFAIK, they are still accurate values, despite the many updates.
The DeltaV readouts in game do show per stage and can be changed to show as either atmospheric or vacuum calcs. Check out the ΔV icon in the editors and play around with the settings. Coupled with a ΔV map, you can guestimate your crafts capabilities with some precision...
https://forum.kerbalspaceprogram.com/index.php?/topic/87463-173-community-delta-v-map-27/
With the in game calculations set to vacuum you should get a reasonable match with those numbers most of the time.