If your only coverage is a qualifying family HDHP, then you can still contribute the family maximum, which is $7200 next year.
Remember that each HSA account is owned by an individual, there are no joint or family accounts. Your ability to contribute to your account only depends on your eligibility.
If you continue to carry your spouse on your family plan it will probably act as secondary coverage to her own plan. That does not affect your eligibility, but it may affect your premiums. If you decided to take her off your plan to save premium dollars, that would make your plan self-only (unless you are also covering children) and that would reduce your contribution limit to the self-only value.
What you really have to make sure of is that you do not have any secondary coverage from your wife’s new job. You can’t be covered under her insurance and she also cannot take a regular flexible spending account or FSA if it is offered. The FSA can be used to pay for expenses for the covered person, or their spouse, so that means that if she has an FSA, it is disqualifying coverage for you. She can have a “limited purpose FSA“ that covers certain items not traditionally covered by insurance and that does not count as disqualifying coverage for you. A limited purpose FSA can pay for braces, vision care, and certain other items but not routine medical care. If she is eligible for an FSA, she will have to review the options at her new job before signing up. If she is offered an HRA, it must not cover you.
