Your plan appears to be ill conceived. The first problem is that you cannot benefit from EU freedom of movement in Ireland unless your EU-citizen husband is in Ireland. You can enter as a visitor for up to 90 days without a visa, but to stay longer you will need either a visa or your husband.
The second problem is that you cannot apply for a UK residence card unless you and your husband qualify under the Surinder Singh ruling. For that, you must have lived together somewhere in the EU other than the UK. If you can't qualify for the Surinder Singh ruling, you could apply for a regular spouse visa.
Furthermore, to apply for a UK residence card, you must be in the UK. To enter the UK, you would apply for an EEA family permit.
We're hoping that once I get the card I can join him in the UK.
If by "the card" you mean an Irish residence card, that also won't allow you to move to the UK. You would still need to satisfy the requirements of the Surinder Singh route.
Keeping in mind that you can only get an Irish residence card after your husband moves to the UK, The Irish residence card does have one benefit: it would allow you to travel to the UK without a visa provided you are traveling with your husband or joining him in the UK.