Not excessive and most implied and shown off screen. If you're very sensitive to gore and blood, I will way you can tell when it's coming and look away and it's quick. If you're okay with minimal gore it should be ok.
When the dads are adopting their daughter they are seen in a hospital/nursery, and there are brief views from inside a hospital on the news. Brief images of children being rolled in and being hooked up to equipment
Andrew has a PTSD flashback to a time he and Eric were hate crimed in a bar. He had to go to therapy and took up boxing and gun carrying due to this traumatic event
No slurs but a homophobic man does attack the couple during a flashback, hitting Andrew over the head with a beer bottle. The couple also assume that the four strangers are there to hurt them because they're a gay couple
SPOILERS for both book and movie. The movie changes the ending so that one of the gay men kills himself. Then it changes things again to confirm that this did indeed end the apocalypse