It doesn't make any difference as far as probability of winning. So one fun thing you could do is to pick some sequence of numbers with some really interesting pattern, whatever pattern tickles your fancy. On the basis that at least if you win then you can surprise everyone with your unusual winning pattern :).
Apart from that, well there's the advice to avoid numbers that others are likely to choose because then there is less chance you share your win with others so the prize could be higher.
And - in interest of avoiding numbers, you can look at these statistics, which, indirectly, give an idea of numbers that people tend to avoid. E.g. they tend to choose the numbers 3 and 7 as the most selected number - this is indirect evidence but the method used seems reasonable. And avoid 13 for instance for superstitious reasons.
Though of course if you choose the six least chosen numbers mentioned there: 32, 34, 39, 40, 46 and 48 then you will probably share your prize with all the readers of that article, on the remote chance you win.
Apart from that I don't know of anything else. Just choose a number that you'd like to win so that you can have some fun saying "Look, I won with 3 5 8 13 21 34" for instance if you are a fan of the Fibonacci numbers - or whatever tickles your fancy.
If a mathematician, you could go to the The On-Line Encyclopedia of Integer Sequences® (OEIS®) and flip through the sequences of numbers until you find one that you find intriguing and use that. So then on remote chance you win, when someone asks how you chose your numbers, you can come out with some fun geeky mathematical fact about numbers :).
Or some numbers associated with a hobby etc. None of this will help your chances of winning, but it could make it more fun.