Cloudflare is your friend. Either with a cloud front distribution or with a simple S3 bucket website. Guide: step 1, sign up for free at cloudflare. Step 2, follow instructions. As simple as it comes!
The description is vague. Cloudflare offers customers a certificate from its private CA which can secure connections from Cloudflare to your systems without you needing a publicly trusted cert. This secures the other half of the circuit successfully if you take that route. Arguably in this limited role it's more secure since there's no third party.
