If you have to convert the attic, then forgo the basement and use the attic as a basement replacement. On the one hand, you apparently have to expand anyway, on the other hand, basement space is more expensive than living space above ground. You can place technology and equipment on one side upstairs, and on the other a bedroom with a shower bathroom – either for guests, as an office, as the parents' bedroom, or children's floor.
Best regards, Yvonne