Glasgow-born McGeady is a target for opposition fans because of his decision to represent the Republic of Ireland and he admits Tynecastle is one of the most hostile venues.
But he is determined not to react while on the verge of the disciplinary points threshold and with Rangers to come on January 3.
"Being a booking away from a ban does prey on your mind," McGeady said.
"I know I can't say something stupid to the referee and pick up a silly booking.
"I need to watch what I'm doing with my tackles as well. It's not the strongest part of my game and I can't just dive in, I need to stay on my feet.
"I realise it won't be easy to keep focused and calm because I know 100% what the crowd will be like towards me - it will be the same as it was away to Motherwell last Saturday.
"It's not an easy place to go. The Hearts fans obviously don't like Celtic, don't like how we play and what we stand for.
"But it's just one of those games where we need to watch what we're doing.
"I don't want a booking to miss a massive Old Firm game. I don't want to miss any game, but especially the Rangers game."