I have both... depends on what you want to do? Home or away use?
Switch mode power supply (240 AC to 12V DC - clean and constant). Good for home use of course. JAYCAR have a great variety.
Deep cycle marine battery 70Ah... runs everying for several nights if I go out bush / camping. Plus I use it for my boat.
Sealed lead acid car starter, SuperCheap or something. Of little use these days...other than for it's intended purpose. Handy to have around for your car, but for astro it just doesn't have the capacity. An ideal battery for DOB setups where they just run a fan or small dew remover setup... but will not run a laptop or CCD appropriately. Pointless
Logie.