There are many different ways to accomplish this, but here are a few of your best options:
1. Your simplest option would be to create an Airtable form and then embed it on your website. This Airtable support article tells you how to get the embed code for your form.
2. Your most powerful option — which is also very easy to embed on your website — would be to use Fillout’s advanced forms for Airtable. Fillout is 100% free and offers hundreds of features that Airtable’s native forms don’t offer, including the ability to update Airtable records from a form, display Airtable lookup fields & Airtable rollup fields & Airtable attachments & formulas on forms, dynamically & conditionally filter linked record fields by any values that you would like, perform math or other live calculations on your forms, accept payments on forms, create multi-page forms with conditional paths, create new linked records on a form, display as many fields as you want to see in a linked record selection list (including attachments), connect a single form to dozens of external apps simultaneously, limit the number of linked records that can be chosen, set advanced field validations & limitations, upload an unlimited amount of attachments simultaneously, add CAPTCHAs to your form, add choice matrixes to your forms, direct integration with hundreds of apps like Calendly & Google Maps on your forms, and so much more.
3. You can also stick with whatever form software that you're already using on your website, and use Make's advanced integrations & automations to send your data from your form into Airtable. For example, if you're using Ninja Forms on your website, then you would use Make's NinjaForms integration. If you’ve never used Make before, I’ve assembled a bunch of Make training resources in this thread.
Hope this helps! If you’d like to hire an expert Airtable consultant to help you with anything Airtable-related, please feel free to contact me through my website: Airtable consultant — ScottWorld