Someone is trying to access my apple ID. I us got an email and a text trying to verify that it is me. It is not me. What should I do to ensure they can’t get any further.

Click on this link "If you think your Apple ID has been compromised" --> https://support.apple.com/HT204145

'Checklist: If you want to see if anyone else has access to your device or accounts' click here --> https://support.apple.com/HT212021

Security and your Apple ID - https://support.apple.com/HT201303

Contact Apple for help with Apple ID account security - https://support.apple.com/HT204169 "This article provides country-specific Apple Support contact information for customers seeking help with their Apple ID password or other security-related issues." Better for directly reporting an issue.

Depending upon the message it could also be a phishing attempt:

Scams (e-mail, text messages, and phone calls) are getting very good at closely imitating true Apple communications. Always be cautious. Here are some guidelines:

Identifying legitimate emails from the iTunes Store - http://support.apple.com/HT201679

Recognize and avoid phishing messages, phony support calls, and other scams - https://support.apple.com/HT204759

Apple 'How to identify, avoid, and report phishing' video--> https://youtu.be/SR3Z3fXXjfw

If you are uncertain about a message and a resource provided in that message, do not click on any links in the message. Try to independently verify the resource by going to a support page on apple.com and use that to contact Apple or to use the service the message is telling you to use.

Here's more, some of which is not in Apple's documents and will therefore be unlikely to get official approval. However, it probably has more specifics to actually aid in identifying bogus messages. I'll post it separately since it is not part of Apple's official guidelines.

- Apple e-mails address you by your real name, not something like "Dear Customer", "Dear Client", or an e-mail address*.

- Apple e-mails originate from @apple.com or @itunes.com but it is possible to spoof a sender address. "Apple email related to your Apple ID account always comes from appleid@id.apple.com." - https://support.apple.com/HT201356

- Set your email to display Show Headers or Show Original to view Received From. Apple emails originate from IP addresses starting with "17.".

- Mouse-over links to see if they direct to real Apple web sites. Do not click on them as this just tells the spammer they have a working e-mail address in their database. If you are unsure, contact Apple using a link from the Apple.com web site, not one in an email.

- Phishing emails may include account suspension or similar threats in order to panic you into clicking on a link without thinking. They may report a fake purchase in order to infuriate you into rashly clicking on a false link to report a problem. March 2018 post by Niel https://discussions.apple.com/message/33129140#message33129140 - "Emails saying that your Apple ID has been locked or disabled are always phishing. If one actually gets disabled, its owner will be told when they try logging into it instead of through email."

- Apple will not ask for personal information in an e-mail and never for a social security number.

- Scams may have bad grammar or spelling mistakes.

- Apple will not phone you unless it is a response to a request from you to have them call you.

* Exception: https://discussions.apple.com/message/33701414#message33701414