A few tips:
1) If you are wearing socks - think about wearing/buying some good pairs of running socks that are breathable and don't have any "wrinkles" or flex in your shoes. I can wear thick (any brand of cheap) socks most of the year walking around home - but my feet aren't as hot as they are in Florida. Socks are as important as the shoes. I have socks I save for travel because I couldn't afford to wear them everyday (silly, but hey, $15-$20 socks are not part of my daily wardrobe budget).
2) Rotate shoes before you have blisters in the first place. I need to be in support athletic shoes most of the time or I get sore feet/legs/hips - but I definitely spend most of our non-park time in other shoes - typically a supportive sandal. You need at least two choices - I prefer three but admit I only take three options on longer trips. I find every part of body appreciates a shoe change - especially late in the day/evening.
3) Re-consider the shoes you are wearing that you say are great back home. I used to think the shoes I wore back home were great - they never gave me problems at home. Well - I'd go to Florida and end up with a blister here or there. The truth was this - I wasn't really putting the mileage on in those shoes back home in the same temperature range - so I wasn't truly mimicking the FL experience. Truth was - I needed to buy shoes in a larger size - a tad wider and a half size longer. Now that I do that - my feet are happier even at home.
4) Especially if you get sweaty feet - consider taking your shoes off for a breather on occasion. Let everything dry out/cool off some. Especially in auditorium style attractions - sometimes my shoes come off - and my significant other ALWAYS takes his off. MK - COP, Peoplemover, Country Bears, Philharmonic; EP - Pixar shorts, that America show; AK - Nemo, FOTLK, Birds of Wonder; HS - Indy, Beauty and the Beast, LM, GMR - you can guarantee my significant other's shoes are OFF.
5) And still take good supplies with you to treat blisters if you get them. For me - I pop them with a needle I wipe down with an alcohol swab, cover in neosporin and bandage overnight. Then decide the next morning what's going to be best - different shoes, moleskin, whatever. And then I'll probably take supplies and a different pair of shoes with me that day in case I need to change things up. The truth is, though, I so RARELY get a blister anymore now that I have adapted in other ways - I don't even bring this stuff along anymore.