This May I'm going to be in Zermatt for a few days with some friends, and we would like to climb one of the 4000-meter peaks in the area. I've climbed several 14ers (14,000 foot peaks) in Colorado, but don't have much experience climbing in the Alps. It's been awhile since I've done a big winter climb with an ice axe, crampons, etc., so I was hoping to do one of the easier ones. From comments I've read it seems that the Breithorn and Allalinhorn summits are obtainable for first-timers. I'm not sure if I'd need a guide but it might be a good idea since it will be my first big climb in the Alps. We won't have any equipment with us, so we'll also need to find a place nearby where we can rent what we need for glacier-hiking.
If anyone has experience climbing in this area and has advice on some good places to hike/climb in mid-May that would be great.