in most newer cars there are u-type hooks behind the seats mounted to the floor of the car. the child seats come with straps /clips, one on each side then the top tether. then all you have to do is clip them on the hook then tighten them up. your seat right now is not like that since its a rear facing infant seat but after 1 shes gonna need a bigger forward facing seat and that kind will have it set up like i mentioned.
btw- i would recommend checking out recaro child seats, there the best!