With my pedant hat on, what you are proposing is, strictly speaking, illegal. Use of any copyright (and all material - even the stuff you film is copyrighted) material for any purpose not expressly allowed is forbidden. An indication of how extreme this is - it is against copyright laws to record copyright music even if it is never going to be played back
Realistically, no-one is likely to take you to task and I'm sure we all use copyright material in our personal "family & friends" projects. One indication of how personal/non-commercial use is seen by the "industry" is that in the UK members of the IAC (amateur cinematographers) can buy an annual licence for about £7 per year which covers them for use of commercial music in strictly amateur projects (so long as you have purchase a commercial recording of that music in the first place).
Personally I wouldn't stick anything for which I didn't have copyright holders permission on YouTube etc, but clearly plenty do.