Are your children grown? Both my situations all involved grown children which is a much different situation if you have minor children or those in college.
My first husband (DH1) was significantly older than me and had grown children when we married. When he died he left everything to me and I gave token amounts (5K each IIRC) to his children.. 20+ years later the inherited IRAs have grown tremendously. I'm taking distributions each year from the inherited IRA, paying taxes and dividing the remainder among his children. The beneficiary on those IRAs are now my step-children from that marriage. Other assets (house, rentals, my IRAs, etc) go to my current husband even if they originated in my first marriage.
I've now been married for 20 years to DH2. When we married I had substantially more assets than DH2. His IRAs and smallish brokerage account have his children from his first marriage as beneficiaries. Other joint assets (house, cars, rentals etc.) go to me. As noted above the inherited IRAs go to my step children from 1st marriage. My IRA, large-ish brokerage account, pension etc, go to DH2. Alternate beneficiaries are my siblings.