I have figured out how to map Keywords and Annotations to the metadata fields that travels with the image.
Good. In TP7, the setting
Options | Preferences | General | "Retain original file date/time when quick process turning or editing IPTC" will prevent that copying the keywords and annotations into the image files alters their time and date stamps in Windows.
(if that has already happened, TP7 has a command "Modify File Info" (under Image | Quick Process) that lets you set file dates to their original EXIF 'date created' date, in batches too).
But is there a way to batch getting it FROM the metadata and into the image database field (the Info Section)??
Yes, TP10 can read the IPTC keywords and Caption when it (re)creates thumbnails, and copy their contents to the Annotation and Keywords database fields (which are shown in the info section of the metadata panel). See Options | Preferences | Metadata and Options | Preferences | Keywords.
As for galleries, there's no simple mechanism to copy those from TP7 to TP10. What I've done in the past is give all images in a gallery a keyword like "GALL1". Then copy those keywords (along with any regular keywords) into the metadata of the image files using the IPTC editor. Then, once they're cataloged in TP10, select all files that match GALL1 and put them in a new gallery (which will then hold the same files as the original gallery in TP7). This worked well but I hope you don't have hundredss of galleries