Could be any denomination really!
I'd look at all the churches around and if that's the style of worship you like, avoid any which say "traditional". Lively, charismatic, spirit-led, evangelical would be the buzzwords.
Life groups are sometimes called cell groups, small groups, home groups, although I think there's a particular acronym for Life groups, can't remember what it is but I know our home groups were rebranded as life groups a few years ago.
If Pastors are important to you over Vicars or Priests then probably avoid Anglican, Catholic, Methodist. But, honestly, if you don't know what denomination you are now then probably the feel and welcome if the church is more important to you than the denominational differences.
Ask the church leadership - they'll know what denomination they are, if they are at all, and they'll also probably have pointers for different but similarly theologically based churches for you to look at. If they are part of an umbrella organisation they may even be able to set you up with an invitation to a particular church in your new area - no obligation to attend of course, but nice to see a friendly face.