Are there API request or size limits I should know about for these integrations?

Yes. Integration limits vary by plan level.

File storage limits

Plan
Pro 1 GB
Team 10 GB
Enterprise 100 GB

Any time you exceed your limit on the Pro or Team plan, your form will still collect files, even if your limit has been reached. You’ll be prompted to upgrade your account to access those files and resume automatic file transfers with your integration.  On the Enterprise plan, you’ll automatically receive an additional 50 GB for $25/month starting with your next invoice.

API request limits

Plan
Pro 2,000/month
Team 10,000/month
Enterprise 100,00/month

Requests larger than 100 KB are counted as one request per 100 KB. Request overages are charged at $20 per 100,000 requests per month.