Can Views output clean URLs from titles with quotes, and other special chars?
If you are loading nodes they will already have a path associated with them. Assuming you have setup path aliases (url aliases), and potentially url patterns with the pathauto module) for these nodes there will already be a field (Content: Path). This field will contain a clean and tidy url you can add which will give you the path to these nodes.  If you just want the node title to be linked to itself there is an option to 'Link this field to the original piece of content' when you add 'Content: Title'.

tl;dr Try to keep this stuff out of Views and add the relevant fields that are already available.