How would you recommend integrating craft with Algolia Has anyone had experience integrating craft with algolia: https://www.algolia.com for realtime search of craft entries. 

It seems like there are a few potential approaches with their Php and Js libraries. Does anyone recommend a particular approach or best practice for integrating a service like this with Craft.
Disclaimer : I'm the dev of the SearchPlus plugin

The SearchPlus plugin by SquareBit (currently in private beta) integrates directly with Algolia and handles all the index population and updates. 

There's also a few helpers for integrating on the front-end. 

All told - you should be able to just drop the plugin onto the site, configure your indexes and start a population action, drop a bit of js on the front-end and you're done.

Drop me a line and I'll get you on the beta.