I made virtualhost like: here. My directory is within home folder. After I attempt to enter my new domain or anywhere I recieve 403 error:/

What went down?

You are able to provide the particulars from the error within the log file

/var/log/apache2/error_log

apache most likely need read accessibility following documents:

/home/.htaccess
/home/user/.htacces
[...]
/home/user/path/to/project/.htaccess