Ensure your MySQL database is properly set up and accessible. Check that you have the necessary permissions to export the data, and confirm the data types and schema structure of your MySQL tables to ensure compatibility with Redshift.

Use the `mysqldump` command-line utility to export the data from your MySQL database. You can export the data as a CSV file, which is a format easily importable into Redshift. Run a command like:
```bash
mysqldump -u username -p database_name --fields-terminated-by=',' --fields-enclosed-by='"' --fields-escaped-by='\\' --no-create-info --tab=/path/to/directory
```
Replace `username`, `database_name`, and `/path/to/directory` with your actual MySQL username, database name, and desired output directory.

Use the AWS Command Line Interface (CLI) to upload the exported CSV files to an Amazon S3 bucket. First, configure the AWS CLI with your credentials, then run:
```bash
aws s3 cp /path/to/directory s3://your-s3-bucket-name/ --recursive
```
Ensure that the S3 bucket is in the same AWS region as your Redshift cluster to avoid additional data transfer costs.

Log in to the AWS Management Console and navigate to Amazon Redshift. Set up a new cluster if you haven't already, or ensure that your existing Redshift cluster is running and accessible. Make sure to configure the appropriate security groups and VPC settings to allow access from your local machine or the network where your MySQL instance resides.

Before importing data into Redshift, create tables that match the schema of your MySQL tables. You can use SQL commands in the Redshift query editor or through any SQL client connected to your Redshift cluster. For example:
```sql
CREATE TABLE your_table_name (
column1_name column1_datatype,
column2_name column2_datatype,
...
);
```

Use the `COPY` command in Redshift to load data from your S3 bucket into the Redshift tables. This command is highly efficient for large-scale data transfers. Example:
```sql
COPY your_table_name
FROM 's3://your-s3-bucket-name/your-file.csv'
IAM_ROLE 'arn:aws:iam::your-account-id:role/yourRedshiftRole'
DELIMITER ','
IGNOREHEADER 1
CSV;
```
Ensure that the IAM role specified has the necessary permissions to access the S3 bucket.

After loading the data, run queries to verify that the data in Redshift matches the data from the MySQL source. You can perform row counts and sample checks to ensure data consistency and integrity. If discrepancies are found, re-check your export and import processes for errors.
By following these steps, you can effectively move your data from MySQL to Redshift without relying on third-party connectors or integrations.