I don't believe in God but I was brought up C of E. I will bring my child up without religious belief, but I don't mind her having some religious 'culture' in her life. For example if she goes to a Christingle service at school that would be okay, or if she did an Easter celebration with school that would be okay too.
Because I was brought up CofE and went to Church every week and was in the choir, bellringing and so on, those sorts of things have always been a part of my life and so I don't feel at all uncomfortable or blasphemous in a church/doing religious things even though I don't actually believe in God. We don't do religious things on a day to day/week to week basis because we don't believe in God, but generally children in England do get some exposure to Christianity and I'm okay with that level of immersion.
When she is old enough I will probably tell her that I believe in science rather than God, but I would be very careful with my wording because a lot of my family (OH's family in particular) are devoutly religious and I definitely would never want her to think I am criticising what they believe in. I'll make it clear that my views are not the only views.
If she wanted to be religious in the future, I would allow that and be fine with it, although I would not actively encourage it in the first place. Since I don't know much about other religions, the one I expect she will know most about is Christianity, and I'm fine with that as long as she has a basic understanding of other religions.