1+TB data means not a jock..........
If you give the full backup means take too much time & also that time your server is down, so i suggest you...
1. Give the full backup on 1st saturday night....
2. Give difrencial backup on every night (in peak hour)
3. If your dava is very very importent then give transaction backup at every 4 hours becouse you telling your data is in TB.......
This is the best way to save & secure the data.....
Whats a "jock"?
Why would the server be down during a backup??
As stated before, it all depends... many questions would need to be asked, including what the current storage looks like. You may have better options at a SAN level if you are running a SAN.
But generally, I would go for:
-Full backup when system is doing least amount of work (I stay away from weekends as that is when you should be doing other maintenance tasks)
-Diff backup every evening
-Log backups (frequency would be anywhere from 15 minutes to 60 depending on accept data loss)
Considering that you are only taking 1 full backup a week, I would want to be restoring this somewhere (applying diffs and logs as well) just to make sure.
As suggested earlier, splitting the DB up into separate filegroups would make your life a lot easier.