It's obnoxiously difficult to identify all of the taxes (especially state and local) that are relevant to your business, let alone to actually file and pay them (both of which can be harder than you'd think.)
Until there's an easy way to verify you're compliant, I don't think there's any viable option except to hire an accounting firm to ensure compliance. If you use standard accounting software (like quickbooks) and just want them to deal with filing and paying the taxes, the bill will be small.