So your Table One is only being used to select which records you actually want in your Table Two, and then will be discarded?
If so, here's how I would do it. Add a checkbox field (Yes/No) to your Table One. Call it [Transfer] or something similar. Now if you can go through your table and find all the records that you want to keep, check this box to Yes. Make a backup!
Now create an Append Query that only selects those records where [Transfer] is True (-1). Run your Append Query to your new Table Two (you don't have to copy over the checkbox field, obviously, but it needs to be in the query so you can apply criteria). Make sure you really did get all the records you want, then you can get rid of Table One.
If you need Table One still at some point in the future then I don't understand your question yet. Also, you made a comment "I did not want to retain a non-sequential series when I created the second table." I hope you don't expect your Autonumber PK in Table two to be unfailingly sequential either for all points in the future. As an example, watch what happens if you start your Append query but then cancel it when it asks for confirmation, then run it again and accept. Your Autonumbers will start at whatever the last number would have been from the first run, plus 1. Deleting records at any time will render the series imperfect as well. Autonumber fields are simply not designed to be perfectly sequential; they're designed to be unique.
As far as books go, there's a lot of good ones out there. Access for Dummies is not bad for beginners. Intermediately, I use QUE's Special Edition Microsoft Access <version>. Advanced users here in the forum often mention The Access Bible.