SQL Server - Table archive

Hi,

I need to backup a database and restore it on another server.

I have 2 very large tables with 10 years of data and I pretend to, before the backup,  move those 2 tables data to some kind of archive and then do the backup/restore on the resulting smaller DB.

I'm planning to do the following

1 - copy those 2 tables data (every thing with more than 2 years) to a new database just for archive

2 - remove the copied data from its source tables

3 - backup source db

4 - move backup files to destination server and restore to new db

I'm thinking wright?

Is there any better way to do this kind of "archive"?

Any guide/advise?

Thanks you so much,

JD