Begin by ensuring that you have access to an Amazon Redshift cluster and an Apache Kafka cluster. You also need a reliable network connection between the two systems. Install necessary tools on your local machine or server where you will run the data extraction, such as AWS CLI for Redshift and Kafka CLI tools to manage Kafka topics and produce messages.

Use SQL queries to extract the required data from Amazon Redshift. This can be done via the `UNLOAD` command, which exports data to Amazon S3 in a delimited text format, such as CSV. For example:
```sql
UNLOAD ('SELECT FROM your_table')
TO 's3://your-bucket/redshift-data/'
IAM_ROLE 'arn:aws:iam::your-account-id:role/your-role'
DELIMITER ','
ALLOWOVERWRITE;
```
This command exports the data from the specified table to an S3 bucket.

Once the data is in S3, download it to your local environment or the server from which you will send the data to Kafka. Use the AWS CLI to perform this task:
```bash
aws s3 cp s3://your-bucket/redshift-data/ ./local-directory/ --recursive
```
Ensure the local environment has enough storage and the appropriate permissions to access the S3 bucket.

Depending on your Kafka configuration, you may need to transform the data into a format suitable for Kafka messages. This transformation can include converting CSV data into JSON or Avro formats, which are commonly used in Kafka. Use a script in Python, Java, or another language to read the CSV files and output the data in the desired format.

Before sending data to Kafka, create the necessary Kafka topics which will receive the data. This can be done using the Kafka CLI:
```bash
kafka-topics.sh --create --topic your-topic --bootstrap-server your-kafka-server:9092 --partitions 1 --replication-factor 1
```
Ensure that the topics are properly configured to handle the incoming data volume and format.

With your data transformed and topics ready, use Kafka’s producer to send data to the Kafka cluster. This can be done using Kafka’s console producer or a custom script. For example, with a JSON file:
```bash
kafka-console-producer.sh --topic your-topic --bootstrap-server your-kafka-server:9092 < transformed-data.json
```
Ensure that your Kafka broker details are correctly specified and that the data is flowing into the correct topic.

Finally, verify that the data has been successfully moved to Kafka. Use Kafka’s consumer to read data from the topic:
```bash
kafka-console-consumer.sh --topic your-topic --bootstrap-server your-kafka-server:9092 --from-beginning
```
Check the output to confirm that the data has been accurately transferred. Address any discrepancies by reviewing the previous steps and adjusting as necessary.