A good place to start is HealthCare.gov. This is the health insurance exchange created by the The Patient Protection and Affordable Care Act, and is a one-stop shop for private individual market health insurance plans (note that the exchange itself is run by the government, but the health plans for sale in the exchange are all private, from the health insurance companies with which you're already familiar). People in 39 states use HealthCare.gov to enroll in individual market plans. The other 11 states and the District of Columbia have state-run exchanges, and you'll be directed to their sites from HealthCare.gov when you select your state.
If the coverage available through your employer feels unaffordable, you can shop around online to see what's available. You may be able to find an individual market policy that will provide you with the coverage you need but is less expensive than the premium you pay at work. This is unlikely to be the case if your plan only covers yourself, since your employer is likely subsidizing a good chunk of the total premiums for the plan offered through your job. But some employer-sponsored plans require the employee to cover the full cost of adding family members, so it's possible that your family members could get a better deal with a separate policy.
Depending on the health insurance company, Texas individual and family health insurance rates for couples can be based on the age of the youngest person on the policy. Some couples with an age difference of several years may find they save money by applying for the same plan rather than individually. Couples that are only a few years apart might be able to reduce their total costs by applying for separate health insurance plans. If you decide to apply for a health insurance plan as a couple, make sure the plan you choose covers the benefits both of you need.
Individual and family medical and dental insurance plans are insured by Cigna Health and Life Insurance Company (CHLIC), Cigna HealthCare of Arizona, Inc., Cigna HealthCare of Illinois, Inc., and Cigna HealthCare of North Carolina, Inc. Group health insurance and health benefit plans are insured or administered by CHLIC, Connecticut General Life Insurance Company (CGLIC), or their affiliates (see a listing of the legal entities that insure or administer group HMO, dental HMO, and other products or services in your state). Group Universal Life (GUL) insurance plans are insured by CGLIC. Life (other than GUL), accident, critical illness, hospital indemnity, and disability plans are insured or administered by Life Insurance Company of North America, except in NY, where insured plans are offered by Cigna Life Insurance Company of New York (New York, NY). All insurance policies and group benefit plans contain exclusions and limitations. For availability, costs and complete details of coverage, contact a licensed agent or Cigna sales representative. This website is not intended for residents of New Mexico.