Hi Earthenware,
Recommendations depend of course also on the exact case of usage, i.e. how often, how much, how many users, how much comfort etc.
I always try to keep it as simple as possible which also means to install as little as necessary.
Linux Lite has already everything on board - as so often thanks to the great, considerate developer team
Therefore I would recommend using the installed file manager Thunar.
If you use the Toolbar Style (Thunar menu: -> View -> Location Selector -> Toolbar Style) you just need to type in:
sftp://<username>@<serverIP>:<port>/path/to/folder/on/server/
If you prefer to keep the Pathbar Style you can hit Ctrl+L and type above command in the pop-up window.
For serverIP you can of course also use the hostname if you set it up the way that it gets resolved.
This will provide you with a Thunar window to your remote folder.
Then you open another Thunar window selecting your local folder.
From there you can use drag and drop or any other Thunar method to perform your file management.
Other solutions:
1. sshfs
You can mount the remote folder via sshfs to a local mount point. Then also using Thunar for file management.
sshfs needs to be installed though on the client.
2. Samba
Already installed and prepared by the Jerry & Co via Network Share Settings. But your server needs to run a Samba server too.
3. nfs
You could export the distinct folder on the server via nfs and mount it via nfs (and preferable automounter) locally. This would entail a lot more configuration and some installation.
Hope that helps for a start
Am sure others will contribute other ideas...