If you have an Outlook account you will automatically have access to OneDrive.
Upload your large files to your OneDrive account (drag and drop them from their existing place). Once you are in OneDrive - Right click the files you wish to send then click on share (they should have a green tick which means they are uploaded to the cloud and ready to share).
You can add a message (which is optional) and change permissions for editing your files by clicking on 'Anyone with this link can edit' (make read only by un-ticking the 'allow editing' box). If it's needed, you can also set the expiration date for access to your files.
Type in the email address you wish to send your link to on the blue line. Alternatively, underneath the SEND button is the options to Copy Link or Send via Outlook (or other email apps).
There is other file sharing software that you can use instead, such as Dropbox, WeTransfer.com and iCloud.