Most good anti-virus programs handle spy-ware on their own. Malwarebytes Anti-malware will handle the rest. They usually won't conflict unless they are running at the same time. I use AVG free which runs all the time. But Malwarebytes, Glary Utilities, and Spy-bot are passive until you initiate them. I use them all with no problems.
There's nothing wrong with having both. Anti-malware would be best and sufficient enough to protect your computer.
i would get rid of both and just get Avast free verion and malwarebytes free version.
First of all, you won't want to install two anti-virus kind programs on your computer at the same time, for
1. Your computer could be trapped in the endless "security scan" loops.
2. Wasting RAM resources, because 90 percent or more of their functionality will be the same.
3. You may encounter error messages as files suddenly disappear for one of the two programs as they attempt to quarantine.
4. Potential incompatibilities often cause unexpected crashes or freezes that are very difficult to resolve.
If you want to "anti" multiple kinds of threats including spyware, I personally use SpyHunter 5, which is designed to prevent the execution of malware and other potentially unwanted objects like adware.