If you want to move past basic bounce rate, here are a couple suggestions that might help:

heat maps of where the customer is 'looking':
https://capturly.com/

A/B testing to simultaneously test several variations of your website to see which is doing best:
https://www.optimizely.com/

Not sure if you're yet measuring on a fine grained level on your site (i.e. which buttons people click on within your site), but popcornmetrics offers an easy, non-dev way to set that up.
https://www.popcornmetrics.com/

if you want advice specific to your site feel free to send a message,

best,

Lee