Ice guiding in Iceland

I'll be in Iceland this September with my fiancé for our honeymoon, and we were hoping to spend a half day or a day ice climbing while we were there. Does anyone have any experience with Icelandic Mountain Guides or Bergmenn Mountain Guides and can tell me what they think? Right now I'm leaning towards Icelandic Mountain Guides because they can give us an early access private climbing tour of Solheimajokull, which would save us 5 hours driving time going from Reykjavik all the way to Skaftafell and back, but if anyone has compelling reasons to go with one or the other I'd be interested in hearing them.