Nice job, man. BBS's Everyday IPA was my first homebrew experience.
Things I've learned since then:
1) During the mash, take the pot off the heat as soon as your stir in the grains. Then, wrap the pot on all sides with a towel, blanket, sleeping bag, etc. and don't open it up to monitor temps. You can wedge that thermometer in between the pot and lid and just leave it peeking out, if you really want to keep an eye on it. But my guess is, if you wrap it up, you won't lose more than a degree over your 60 minute mash, assuming your pot is stainless steel as opposed to aluminum (aluminum bleeds heat off faster than steel).
2) As mentioned, sanitation is really only necessary post-boil. It's never a bad habit to get into, but things don't necessarily need to be sanitary during the mash/sparge stage.
3) I leave my blowoff tube in until right before I want to bottle, then I put on the airlock. It's the easiest thing for me to do. They serve the same function, and I don't really see the point of switching one out for the other.
4) For your ice bath, try a sinkful or two of straight tap water first. I see it didn't take you long to cool the wort, but the difference between 212° boiling wort and 60° tap water is not significantly different than that between the wort and 32° ice water. If you use tap water first, and get the temps down to 90°-100°, and then use an ice bath, you won't need nearly as much ice. Your call, but I've found it's almost just as fast, and I only need 4 or 5 trays full of ice instead of twice that.
5) If you have the chance, get a bottling wand before you bottle. It is literally a lifesaver. It's so much easier to use than that thumblock that comes in the BBS kits.
6) When siphoning, practice with water first. There's nothing more annoying than struggling with your siphon as the beer is sitting open, just begging to have a dog hair fall in or something. Also, you can fill you wand/tubing/bottling wand with water or a sanitizing mixture to prime your siphon (a spray bottle works great for this). Hydrostatic pressure will keep the liquid from dripping out, and it will lead to a faster siphon, as well as minimize bubbling through the tube.
7) Ignore the schedule on their kit instructions. You'll only do better by leaving stuff in there longer, be it fermentation or bottle conditioning. I'd double everything they say, as a decent rule of thumb.
Hope some of this helps make brewday a little easier. Welcome to the obsession!