In my opinion, you do not need to say words – but rather just remember from time to time that at least part of your intention in praying the Rosary is to pray for all the members (living and deceased) of the Living Rosary Association.
I am not a member of the Living Rosary Association. But I have read about it. I think you are only required to say your decade. But it is very worthwhile to pray frequently to Mary – the Immaculate Conception.
I think what you suggest is the best idea. Pray the Rosary every day (perhaps 5 decades in the morning). And then separately pray your assigned decade for the URL. I think like you – I enjoy praying all the mysteries of the Rosary and would not want to pray the Rosary less.
And go ahead and pray the Glory Be and Fatima Prayer with your URL decade. If I were a member (and I’m thinking about it) I would do that because it is a normal part of my praying each decade.
I enrolled in the Confraternity of the Most Holy Rosary – see
rosary-center.org/nroscon.htm
And coincidentally, my certificate is dated February 2, 2005 – the feast day of the Presentation. So to some extent we are brothers in the faith and also brothers in the Rosary (through that decade).
The Presentation is one of my favorite mysteries to pray. In my mind, I often do this – I waited my turn until Simeon and others have talked with Mary. And then I ask to hold the baby Jesus. And I gently hold Him in my arms as I pray that decade. Sometimes I think Jesus is sleeping and I just hold Him gently. And sometimes He is awake and wants to play with my fingers. In either case, I usually hold the Rosary in my left hand while holding baby Jesus in my left arm. And then He plays with my fingers or grasps a finger on my right hand.
It is a good idea to be equally able to pray the Rosary with either hand. So if you are right handed, develop the ability hold your Rosary with the other hand. In this way, you can do almost everything that you do (with your dominant hand) and not need to stop praying the Rosary. If the need to pray arises, you are all prepared that way.
I am glad that you enjoy the Rosary. I have found it to be a source of great comfort in many circumstances. And interestingly enough my love of the Rosary has not worn off.
jmm08