We have standing 'round-the-clock Motrin for SVDs and prn Percocet/Darvocet ordered.
For perineal pain, I like ice diapers - take a diaper, rip the top open & stick it under the ice machine, though I imagine water & freezing would be essentially the same thing. I don't like putting washcloths (over gloves) down there because our washcloths are really rough.

This for the first 24 hours. Plus the usual dermoplast & witch hazel pads.
If mom wants something warm afterward, we can do sitz baths. My sitz bath was my best friend for about 2 weeks postpartum and a 2nd degree lac.
Our hospital recently 'outlawed' microwaved hot packs, mostly because there is no way to ensure a temperature that won't cause a burn like you can w/ a blanket warmer.