Convertible top transmission grease

[WhatAmIDoing]

Hi all,

I'm in the process of fixing my broken convertible top. It's my first DIY mechanical project ever. I searched the forum for quite some time, but couldn't find an answer so I could use some help.

After a lot of reading online, I managed to identify the top transmission gear as the culprit. After removing the transmission, I confirmed that the left-side plastic gear was completely broken, and the right-side one was heavily cracked. I'm going to replace both.

This leads me to my question - I noticed the transmission is greased, thus I'll be cleaning the old grease and applying a new one. Does it matter which grease is used? I see so many types in stores and am not sure if there's a difference between them.

I'd greatly appreciate it if someone who's done it before would share what they used.

Additionally, while everything is dissembled, are there any other common issues I should look for? I'd like to avoid the situation in which I build it back up just to discover there's something else wrong with it.

Thanks!