mirage is nicer. pool is great there too. have not been in a while, but both places have the continuos shuffler machines, lots of them. your less likely to find them at TI at lower limits. Maybe you can find a $10 min. table at TI that is hand shuffled, maybe not. Very unlikely to find that at Mirage, sadly. At Mirage depending on time of day, they may not have any tables under $50 min or $25 min which are regular hand shuffled shoes.
I used to like Mirage and Bellagio I ignore them now due to this. I am not going to be ripped off when playing blackjack against some machine. I could stay home and do that on the internet.
I would stay at Mirage and if the BJ is no good, walk to Caesars Palace. They have good games. Or try some other casinos around there, Venetian is nice so is Paris and I think they hand shuffle all their games at those places too.