Here are some good tattoo cover up ideas:
If you are at all into tribal designs, then you could consider getting a tribal tattoo incorporated or covered over with the tattoo you want to cover up. Tribals can blend in well and are so deep colored that if you have an old fading tattoo you want covered, it can do the job.
2. Name Cover Ups.
A common tattoo to get covered up are names. These can carry a huge amount of regret, and covering them up can be a great, relieving experience.
There are different ways you can cover up names. Choosing a design using the same color as the name can usually be incorporated and covered efficiently.
Another, less likely option may be to change the actual name in some manner. Making it comical, or re-wording it so it now means something different. An example of this would be how the actor Johnny Depp changed his "Winona Forever" tattoo, into "Wino Forever". It's usually rare that a good name change can work, but if so it is something to consider.
3. Modern Tattoo Design Cover up.
Getting a modern design can be great as well, as not only are you covering up a tattoo, but you are essentially replacing it with a much, much better one.