The best thing is to do multiple things:
- Validate data
- Clean data
- escape date
The validation is to check whether the data you've got makes any sense. For instance if you expect a birth date you check whether the format is correct and maybe even whether the date amkes sense. This not only has security benefits but also prevents some (not all) errors of wrong data. The tools there depend on the case, regular expression (preg_match) are often a good choice.
Cleaning data is often not really needed, but nice, for instance if a user types in some value use trim() to split of some whitespaces, which might be mistakes from copy and paste or such. This has no security benefit but improves the overall quality of your data. Which is good.
Both of these things should be done early in your script. While "early" depends on your achitecture. Sometimes it makes sense to clean first an validate then or doing it at once (preg_replace)
Then when sending data of to a database or putting it in HTML or any of these things oyu have to escape it accordingly to the system you are using. You should do that for all data, even when you verfied the format beforehand to be on the safe side. When talking to mysql these are the real_escape_string functions for instance, for HTML it is htmlentities() or htmlspecialchars(). with databases it is also a good idea too look into prepared statements, either PDO->prepare + execute() or mysqli->prepare() +execute()
addslashes()is superfluous in this case. Also, if your app accepts unicode input, brace yourself for b0rken entries in your database.