There are 2 types of "partial" backups, incremental and differential. The retail version of Macrium, Acronis, and others makes setting up a schedule pretty easy, and that includes deleting older images as new ones are made. The free versions have fewer options.
An incremental backup backs up only the system changes since that last
incremental backup. In other words, when you want to restore, you will be given a number of dates to choose from, like System Restore, and you will need the original full backup and all the incrementals up to the time you are restoring to.
A differential backup saves all the changes since the
last full backup. That means that to restore, you need only the original and one differential backup. The older ones can be deleted.
The differentials get increasingly bigger as the number of changes from the original increase. That is why many people choose incremental since they are quite a bit smaller.
Occasionally, you can delete all your backups and create a new full one to start over and get your drive space back. If you do that when your drive has enough space, you can create a new full backup before deleting the old one so you will not have a period of time without any at all.
Sometimes, people want to create a backup that can be used as their "factory restoration". That one can be the first and saved on DVD, for example. The recovery partition on the hard drive can be removed and the space added to your system and the new DVD becomes your "recovery" medium.
There is not just one right way to use these tools. So long as you have a backup, a fairly recent one, exactly how you decide to do it is up to you. Some imagers have built-in schedules that you can choose from that automatically keep fresh backups and delete older ones so you only have to check it maybe once a week to be sure it's working right. Everything else is automatic.
Macrium is one of the best and very similar to the retail Acronis. I'm pretty sure it also includes some scheduling ability. The Linux-based boot disk works fine, so you don't need to go to all the trouble of making the Windows-based recovery CD unless you want to.
I realize that this does not actually solve the problem you came with, but I see no reason to fix your Yugo when you can have a nice, new Nissan.
