Welcome to Just Answer. I am here to help you resolve your tax and finance concerns. Please feel free to ask anytime you need extra help.
With a negligible income on your side of this it would make more sense to file a joint return. However, if you wish you can calculate your taxes both ways and see which works best. Please remember that in a separate return some tax benefits are not available that are available in a joint return so it makes sense to do a complete calculation of the return both ways before deciding. Once you have the numbers for a joint return preparing separate returns for comparison is a simple matter. There are many software programs available that will permit this dual computation and some are available for nominal cost.
Since I'm new to this, what tax programs online can I utilize to see if filing separately is feasible?