How to transfer Messages from iphone 5s to iphone 11-Pro????

Hello,
I'd like to transfer Messages from iphone 5s to iphone 11-Pro,
I do not wish to run a full backup, and I do not wish to keep any messages on icloud.
And I'd like to avoid third-party software installations.

Then, from the 4 options in the two-month-old article at
How to Transfer Messages from iPhone to iPhone?
only "Part 2" seems to be a good option;

Part 1: How to Transfer Messages from iPhone to iPhone without iCloud/iTunes
-> seems to require third-party software installation
Part 2: Transfer Messages from iPhone to iPhone using iCloud
-> see below
Part 3: Transfer Messages from iPhone to iPhone via iTunes
-> full backup only?!
Part 4: How to Transfer Messages from iPhone to iPhone without Computer
-> doesnt seem to work, as there does not seem to be a way to select messages
for transfer?!

However, according to
icloud message sync is so confusing.
it seems that messages are not downloaded in full; like Photos, they reside
on the icloud to be downloaded as needed; that seems to explain the
"messages have not been fully downloaded to this iphone" notification
via the icloud interface.
Any ways to resolve this?? Thanks a lot!!
(I investigated other hits of
messages have not been fully downloaded to this iphone disable and download messages - Google Search
but no obvious solution.)

Thanks in advance!
Georg

 

Dear J. A.,
I'm very thankful for the response! Is there any way to force the full download of all the messages in the iCloud to the new iphone 11, so that I can disable iCloud therafter??
Thanks again!

 

Yes, thanks, but I learned from some other Internet posts that the
"messages have not been fully downloaded to this iphone"
notification tells me that if I disable iCloud, not all messages
will be on the new device:-(
This may make sense for thousands of Photos, but in my
case, I really do not need iCloud storage. Thus, is there
any chance to get a full download done?
Your help is very much appreciated.