I think its a good thing to have more than one Rosary

I have one in the Pocket of my jacket, that one is a Wood Rosary and I think it can take some “beating” so to say as its made in a solid material.
Its not disrespectful at all to carry a Rosary in Your Pocket, if anything its smart

If somethings happening and Im in great need of Mama Marys intercession I would be happy to know Im having a Rosary near by

Also remember that the kids in fatima and St Bernadette of Lourdes had their Rosaries nearby when The Blessed Virgin appeared to them.
The Rosary I hold dearest is a St Benedict Rosary that I bought recentley.
Its my finest and its quite small and easy to pray With.
the cons about it is that it will break quite easily I think
Sorry for my rant, to sum up: My advise is for you to buy more Rosaries as you can never have to many of them anyway

Pray the Rosary as Our Lady of Fatima urged us to do!
If you havent, I`ll strongly recommend for you to go have it blessed by Your priest
Also I store my Rosaries in a drawer along With my Seven Sorrows Rosary and my Saint Medals.
God Bless!