60v is on the threshold of where you might feel something if you touch it. Wearing gloves, even disposable rubber gloves, won't hurt.
I would be more worried about accidentally shorting the battery and making a big spark. Disconnect the main wire coming from the battery first and put tape over the end so it can't touch anything. Then you can do the rest of the work without worrying about anything. Lastly remove the tape and make the main connection.
"One test is worth a thousand opinions"