I think automation is really important at the business process level but at this stage you should probably give yourself a budget to buy vs build in most all but your really core areas. Lay the foundation but defer where you can.
Things I would do right away is:
- Have a credit card just for the business
- Automate your accounting (push orders to accounting system)
- Automate your inventory management (at least have a system)
- Figure out shipping well and automate that.
I leverage Shopify and Xero for these and it works OK for now.
Feel free to email me if you want to compare notes in detail.