Will my rooted Samsung Galaxy Notes 3 get Android update automatically? I have a Samsung Galaxy Notes 3 with Android 4.x. I now know there is Android 5.x.

Will it be upgraded automatically at the right time. If not, should I consider doing it myself?

(Phone is not tied to a carrier, rooted)

Missing in above edit question:



I would like to know to what extent phones do get automatic upgrades?
(Like is it only very resent ones)

About looking for manual upgrades - it seems to me that if an upgrade is pushed, it is a reason for it?  So you should probably only do it if you have a good reason, and know what you are doing?
I always upgrade my phone because I like to be up to date with sw; indeed I bought a Nexus 5 to get fast upgrades. This way I always have the latest functionalities and improvements. It seems that you will get the lollipop update (see here), so you may as well install it. If you cannot chose, try reading the change-log to see whether there is a Stagefright fix or not. If there is update without hesitating!