I prefer "Mikes" instead of "Bits" for the same denomination, and that's what I've been using in conversation for 8 years now.
0.001 BTC = 1 Millie (Get it? Millie as in "Milli"bitcoins. Easy to remember, easy to use)
0.000001 BTC = 1 Mike (Get it? Mike as in "Mic"robitcoins. Easy to remember, easy to use)
So, 1 satoshi is:
0.01 Mike
0.00001 Millie
0.00000001 Bitcoin
Furthermore, 1 Bitcoin is:
1,000 Millies
1,000,000 Mikes
100,000,000 satoshis
Sure both "millie" and "mikes" are quite easy to remember, but it just simply doesn't sound "right" in my opinion. Using a common person's name as a currency denomination seems weird, but that's just me though. Personally, I don't even like using the "satoshi" denomination either, but shortening it down to "sats" seems to sound more natural as a currency terminology.