Coming out of the quench, we need to temper it very soon. But not TOO soon! Steel needs to reach its Mf point before tempering. The Mf for 1095 is a few hundred degrees or so, so like Utican mentioned, let it cool down to about room temp.....or to where you can hold it in your hand without much discomfort. Don't wait overnight, for sure! Usually 15 minutes or so after the quench, the steel is cool enough to temper.
One thing you mentioned tho has me confused. Your buddy heat treated your blade for you, but you need to temper it further? You said he tempered the blade to 63HRC, but you want to bring it down to 60HRC, correct? I suppose I am lost as to why he could temper the quenched knife to 63, but he can't temper it to 60? You can certainly temper it further in your kitchen oven once you receive the knife. No problems at all.....if it has already been tempered once already. Around 400F or 410F should get around 60.