Lithium ION would be the lightest, but most use a Sealed Lead Acid, due to Lithium ION being unstable around water. Now physical size depends greatly on Ah "Amp Hour" rating. A lot of people who are running a 4" screen for 1 day will usually opt for a battery with a rating of 5Ah at the minimum. I run a 7" color screen, and like to get (2) 9-10hr trips out of my battery so I run a 14Ah battery. I was running a 21Ah battery and would get 4 trips pretty easily out of it. Figure how many hours you want to run your equipment, use the owners manual to figure current draw of your equipment, and then determine what size battery you need.