Database Transfer in Parts?

Okay, I'm in the middle of transferring my sites to another server. They've all been transferred over and function as duplicate sites. However, they were initially copied over on Jan. 09, 2008.
Now that I'm OFFICIALLY transferring them over, there is one site that I'd like to update the database to account for new information posted/changed since Jan. 09.
I did a test. Here's what I did. Did a gzipped backup of my entire current site. Had another install of IM1.41 on the NEW server so I imported the database onto that database, dropping tables. Something caused the transfer to time out (large database?) so not all tables were transferred. I noted the non-transferred tables and made a gzipped backup of only those tables from my current site. I then imported THAT backup and it created and filled in the remaining tables.
I had to tweak some settings (since it was new domain name and subfolder name) but got it working.
QUESTION 1: Does transferring a database in chunks of tables cause issues?
QUESTION 2: Is there a way to just transfer the user data and posts? Will just transferring those things cause issues?
Now that I'm OFFICIALLY transferring them over, there is one site that I'd like to update the database to account for new information posted/changed since Jan. 09.
I did a test. Here's what I did. Did a gzipped backup of my entire current site. Had another install of IM1.41 on the NEW server so I imported the database onto that database, dropping tables. Something caused the transfer to time out (large database?) so not all tables were transferred. I noted the non-transferred tables and made a gzipped backup of only those tables from my current site. I then imported THAT backup and it created and filled in the remaining tables.
I had to tweak some settings (since it was new domain name and subfolder name) but got it working.
QUESTION 1: Does transferring a database in chunks of tables cause issues?
QUESTION 2: Is there a way to just transfer the user data and posts? Will just transferring those things cause issues?