I'm going to make things even more complex. Deep Cycle is really the only way to go for a house battery, no doubt. However, also consider the TYPE of battery (e.g. flooded, Gel, or AGM). AGM is the best IMHO. They are sealed, they can't spill, they will hold a charge for LONG periods of time without needing a trickle charge. (mine loose only a few amps over teh course of a winter without being maintained on a trickle charge). Deep Cycle Batt's can be drawn down to much lower than a normal flooded battery, however AGM's can go even lower than a typical flooded battery and still be reacharged to their full (close to full) capacity and still hold the charge, while draining a flooded too low will never be able to be fully charged or hold a charge the same again. AGM's typically charge faster and have higher Amp Hours than a typical flooded battery of the same Group. They are more impervious to shock.
However, they cost a lot more. Gel batteries have many similar traits, however an AGM can be charged like a regular flooded battery, while a GEl requires a very, very specific voltage range and don't always like to be recharged off a standard distributor. Neither Gel nor AGM off gas like a flooded and don't require topping off like a flooded.
Personally (as you can probably tell by now) I prefer Dep Cycle AGM batteries. I use lifeline, but expect to pay a premium for them. A Typical Group 31 costs about $250.00. Obviously a Group 24 or Group 27 would be less money. Group 24's are the typical automotive battery size. If yo uhave room, consider a Group 27. Group 27's and Grouop 31's are teh same size, though Group 31's have more amp hours. both group 27's and Group 31's are larger than the group 24.
Some things to consider.
I'm sure that cleared things right up, did't it?