IMO, wield is not a valid option here.
Which of the following sentences is acceptable?
1. We could try our hands at wielding a glove puppet.
2. We could try our hands manipulating a glove puppet.
3. We could try our hands with a glove puppet.
Last edited by Ashiuhto; 23-Aug-2012 at 01:31. Reason: typo
The context is as written.
All areas in the Puppetry Art Center are great. Among them, I love the Glove Puppet area the most because I’ve loved watching glove puppet shows since I was a child. In this area, I can try my hand with a glove puppet. Apart from this, the exhibition area throws/sheds light on the different forms of glove puppetry stages, the process of making puppet heads, their elaborately embroidered costumes, the instruments that are used backstage, and more. It leads me in an exploration of the world of puppets.
The underlined part sentence, " I can try my hand with a glove puppet."