Inherited IRA – Leave it or disburse it all now?

I recently inherited a six figure IRA. If I disburse it all now to myself, it'll hit as regular income. At my current tax bracket, the income would be enough to jump me from the 22% to 24% tax bracket.

I'm currently a FL resident (no state income tax) but moving to DC or VA later this year. If I pull the money now, I avoid state tax entirely. I'll be in DC or VA at least one year, likely 2. After that, back to FL.

I had thought I would just disburse it all as income and invest it in my brokerage account. I was thinking whatever income I had above the 22% tax bracket limit would just be taxed at 24% and felt like that was fine. But then I noticed it seems like each bracket has a baseline tax you pay, THEN it's 22 or 24% for everything in that bracket. Is that right? The jump from the 22% bracket (base $11,600) to 24% (base $35,932) is significant, and if I'm understanding it correctly, seems like I should definitely avoid tipping into the 24% bracket. Instead of a big disbursement, I should disburse just enough each year to stay in the 22% bracket — but then I have to factor in the years I'll be in DC or VA, so I wouldn't pull another disbursement for a few years. I have until 2035 to pull it all to avoid the other huge tax hit for inherited IRAs generally.

I don't necessarily need the cash. At the moment, my plan would be to take all of this and just dump it into the stock market.

Retirement is 20+ years away. I max and aggressively invest all retirement accounts (401k + Roth IRAx2 (spouse) + HSA)

I would appreciate any advice you can offer! Should I pull it all now and invest it? Pull just enough each year I'm in a no-state-income-tax state to avoid tripping into the next bracket? Leave it all until year 10 then pull it (hoping I'm in FL and not elsewhere!)?